Use the substitution method to solve the following system of equations:

3x + 5y = 3
x + 2y = 0

Answers

Answer 1

Answer:

[tex]\displaystyle [6, -3][/tex]

Step-by-step explanation:

To begin this process, we will first select the second equation. Here is how the Substitution method wourks:

[tex]\displaystyle \left \{ {{3x + 5y = 3} \atop {x + 2y = 0}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {x = -2y}} \right. \\ \\ 3[-2y] + 5y = 3 \hookrightarrow -6y + 5y = 3 \hookrightarrow -y = 3; -3 = y, 6 = x \\ \\ \\ \boxed{[6, -3]}[/tex]

So, you substitute [tex]\displaystyle x[/tex]for [tex]\displaystyle -2y[/tex]and continue combining like-terms until you receive the y-value. You then plug this back into the system to get the x-value, which was what you saw.

I am joyous to assist you at any time.


Related Questions

This year, 17,884 people attended a basketball team’s first game, and 17,150 people attended their second game. What is the percent decrease from the first game to the second game in the number of people who attended? Round to the nearest tenth of a percent.

Answers

Answer: 4.10422724223%
Rounded: 4.1

Answer:

4.1

Step-by-step explanation:

Find the area of the circle. Round your answer to the nearest hundredth. The area is about square inches.

Answers

Answer:

I believe it is 201.06 square inches

Answer:

201.06

Step-by-step explanation:

The area of a circle is pi * r^2.  So, 3.14 * 8^2.  So, it would be 201.06 (rounded).  Hope this helps!

1) Explain what opposite reciprocals means. Then explain how it is important/relevant in geometry.

Answers

Answer:

Step-by-step explanation:

a

Opposite means add a negative sign in front of it.

The opposite of 6 is -6,

7 --> -7,

-10 --> 10.

Reciprocal means flip it.

Reciprocal of 6 is 1/6

of 7 is 1/7

of -10 is -1/10

Opposite reciprocal means add a negative sign AND flip it.

6 --> -1/6

7 ---> -1/7

-10 --> 1/10

In geometry, perpendicular lines on a graph have opposite reciprocal slopes.

is this relation A function? (a lot of points i’ll give)

Answers

The answer is A because the two points have the same value. Then it would not pass the state of the line test. your answer is A

Find the measure of angle x in the figure.

Note: Angles not drawn to scale.

Angle x measures=

Answers

Answer:

x = 125°

Step-by-step explanation:

There are 7 angles in this shape. The sum of the angles in a shape like this is calculated using a formula.

Total of angles

= (n - 2)•180°

Put in 7, because there are 7 angles.

= (7 - 2)•180°

= 5•180°

= 900°

So the total of the angles should be 900°. We know all of the angles except one.

900° = 123°+129°+128°+128°+132°+135°+ x

900° = 775° + x

Subtract 775.

125° = x

The missing angle is 125°.

Another model rocket is accelerating at a rate of 3m/s squared with aforce of 1N. What is the mass of the rocket? plssssss hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! like right now plss
ty

Answers

Answer:

0.33333333333e3

Step-by-step explanation:

e = infinity

39.4 is what percent of 64 round to the nearest 100

Answers

Answer:61.7

Step-by-step explanation:

maths

Answer:

61.56%

Step-by-step explanation:

Find 39.4 out of 64 as a decimal:

Convert decimal to percent:

0.615625 × 100 = 61.5625% (Move decimal 2 places to the right)

61.56% (Round to the nearest hundredth)

The volume of this triangular prism is 32 cubic inches. What is the value of d?

Answers

Answer:

Divide the volume by the length of the prism to get the area of the face:

468/13 = 36 square yards.

The area of the face ( triangle) is 1/2 x base x height

Replace with what you have:

36 = 1/2 x 9 x g

Multiply both sides by 2 to remove the 1/2:

72 = 9 x g

Divide both sides by 9 to find g:

g = 72 /9

g = 8 yards.

100 points!!!!! How many more brick houses did Company N build than Company M?

Answers

Answer:

company N built 10 more brick houses

Step-by-step explanation:

if company M builds 2x as many wooden houses as the do brick houses that would be 1/2 of 100 which is 50, and the ratio of wood houses to brick houses for company M is 5:3, 5x20=100  3x20=60.   60-50=10

Answer:

10 houses

Step-by-step explanation:

If Company M builds half as many brick houses as wood houses, then if this company builds 100 wood houses, it builds 50 brick houses.

For Company N, create a linear equation showing the relationship between wood houses (x) and brick houses (y).  For every increase in x by 5, y increases by 3:

y = (3/5)x

Therefore, when x = 100:  y = (3/5)(100) = 60

So Company N builds 60 brick houses when it builds 100 wood houses.

Company N - Company M = 60 - 50 = 10 houses

Therefore, Company N built 10 more brick houses than Company M.

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

2x² - 12 + 8x

Setting up the equation:

Let that [SOMETHING] be L

⇒ 3x² + 8x - 16 - (L) = x² - 4

To avoid confusion, let's use parenthesis:

⇒ (3x² + 8x - 16) - (L) = (x² - 4)

Simplifying the equation:

Subtract "(3x² + 8x - 16)" both sides to isolate "(L)":

⇒ (3x² + 8x - 16) - (3x² + 8x - 16) - (L) = (x² - 4) - (3x² + 8x - 16)⇒ -(L) = (x² - 4) - (3x² + 8x - 16)

Take the "-" in the parenthesis:

⇒ -(L) = (x² - 4) + (-3x² - 8x + 16)

Open the parenthesis:

⇒ -L = x² - 4 - 3x² - 8x + 16

Combine like terms and simplify:

⇒ -L = x²(1 - 3) + (-4 + 16) - 8x⇒ -L = x²(-2) + (12) - 8x⇒ -L = -2x² + 12 - 8x

Put both terms in parenthesis:

⇒ -(L) = (-2x² + 12 - 8x)

Multiply both sides by -1:

⇒ (L) = -(-2x² + 12 - 8x)⇒ L = 2x² - 12 + 8x

Thus, the [SOMETHING] is 2x² - 12 + 8x.

Answer:

[tex]2x^2+8x-12[/tex]

Step-by-step explanation:

[tex]P=3x^2+8x-16[/tex]

[tex]= x^2-4[/tex]

The Quantity Subtracted

Let the Quantity be called "y"

[tex]P=y\\3x^2+8x-16-y=x^2-4[/tex]

Bring together like terms

[tex]y= 3x^2-x^2+8x-16+4\\y= 2x^2 + 8x-12[/tex]

Help ASAP im in 6th so this could be easy for sum of you to answer! okay so click on this question to see the rest please help me! Billy's soccer team won 17 out of the 20 games played. Sam's soccer team lost 3 games of their 12-game season. Which statment is NOT true about the wins and losses for both Billy's and Sam's soccer teams?
Group of answer choices: A, Billy's soccer team won 17 games which represents 85% of their games.

B, Sam's soccer team won 9 games which represents 3/4 pf their games.

C, Both of their teams lost 3 games, so their losing percentage would be the same.

D,Sam's soccer team lost 3 games which represents 25% of their games.

Answers

Answer:

C

Step-by-step explanation:

I believe it is C because since they each have a different amount of games even though they both lost three, the percentage will be different. Just like if you missed 2 questions on a 4 question test you would fail, but if you missed two questions on a 20 question test you would get a good score.

Answer

C

Step-by-step explanation:

The volume of this right prism is 266.5 ft³.

What is the height, x, of the prism?

Enter your answer as a decimal in the box.

x =
ft

Answers

Answer: The Correct answer is 8.2

Explanation: I took the K12 test and got it right

The height of the prism is 8.2 feet.

What is Volume?

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.

We have,

The volume of this right prism is 266.5 ft³.

As, the formula for Volume of Trapezoidal prism is

= 1/2 ( base 1  + base 2) x height x length

So, Volume of prism

266.5 = 1/2 (5 + 8) x 5 x y

266.5 = 32.5 y

y= 8.2

Thus, the height of the prism is 8.2 feet.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ5

How is y = x + 4.5 related to y = x ?

Answers

Answer: the graphs of the two lines are ||.

Step-by-step explanation: Notice that in this problem, we have

the parent graph y = x and the equation y = x + 4.5.

Notice that both of these equations have the same slope.

When two equations have the same slope and

have different y-intercepts, the lines are ||.

Answer :it related because it is a slope form.

Step-by-step explanation:

8 x 8 x 8 x 8 using an exponent

Answers

8^4
Since 8 is multiplied 4 times

Hey there!

We have

8×8×8×8

Let's write it using an exponent.

8=8¹

8×8=8²

8×8×8=8³

8×8×8×8=8⁴

So we multiplied 8 times itself 4 times (that's why the exponent is 4)

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

4x + 6+ 3= 17
Show answer

Answers

Answer:

x= 2

Step-by-step explanation:

4x+6+3=17

4x+9=17

    -9  -9

4x= 8

4x/4 = 8/4

x= 2

Hope this helps!

Sebastian goes out to lunch. The bill, before tax and tip, was $8.75. A sales tax of 5% was added on. Sebastian tipped 17% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.

Answers

Answer:

1.56

Step-by-step explanation:

just do 8.75x1.05, then multiply that number by .17.

please mark as brainlest.

The price of a gallon of gasoline dropped by $0.08 on Wednesday and by 0.25 of that amount on Thursday. Which best represents how the price of a gallon of gasoline changed on Thursday? –0.32 –0.02 0.02 0.32

Answers

Answer:

- 0.32

Step-by-step explanation:

because if you add 0.08 and 0.25 you get 0.32 but then you are subtracting that from the original price so I think it would be - 0.32

Answer:

-0.32

Step-by-step explanation:

I just answered that question

Solve x for 8 x = 22 Give your answer as an improper fraction in its simplest form.

Answers

Step-by-step explanation:

8x =22

Divide by 8

X=11/4

The required improper fraction is 11/4.

What is an  improper fraction?

Improper fractions are defined as fractions for which the numerator is greater than the denominator.

Given that an equation, 8x = 22, we need to find the value of x,

8x = 22

Diving both the sides by 8, we get,

x = 22/8

x = 11/4

Here, the numerator is greater than the denominator.

Hence, the required improper fraction is 11/4.

For more references on improper fraction, click;

https://brainly.com/question/21449807

#SPJ2

Can anyone answer this please?

Answers

-7/11, or -0.63. because you convert the whole numbers to fractions then divide across.

-16/11

Step-by-step explanation:

16/3 %(- 11/3)

16/3 ×3/-11 = - 16/11

a game show has 70 categories. There are 30 points in each categories. how many points are there in total on the game show?

Answers

There are 2,100 points in the game show because you multiply the number of categories by the number of points in each category to get 2100 points in total on the game show

Find the coordinates of the midpoint of
segment XY for X(-2, 3) and Y(-8, -9).

Answers

Answer:

use formula

(x,y) =[ (x1+x2)/2 ,(y1+y2/2)]

=[(-2-8)/2, (3-9)/2]

=(-10/2 ,-6/2)

=(-5,-3)

(First to answer CORRECTLY gets brainliest!)The Mayflower Compact could best be described as a/an...


a

basic agreement requiring colonists to obey Virginia law.

b

early attempt at self-government in the English colonies.

c

detailed list of reasons why the Pilgrims left England for the United States.

d

trade contract between Great Britain and merchants in the Virginia colony.

Answers

Answer:

b, early attempt at self-government in the English colonies.

. A driver travels 688 miles in 2 hours. How many miles would this person
drives in 4 hours?

Answers

Answer:

1,376

Step-by-step explanation:

688 • 2 = 1,376

Answer:IT MATH

Step-by-step explanation:

What is the area of this parallelogram?
Please help :)

Answers

Answer:

D

Step-by-step explanation:

Remark

We will change the dimensions to decimals

h = 3 7/8 = 3.875

b = 6 1/2 = 6.5

Formula

Area = h * b

Solution

Area = 3.875 * 6.5

Area = 25.1875

0.1875 = 3/16

Answer: Area = 25 3/16

Answer: D

Cameron wants to buy a new bike that costs $112. He is saving $8 per week. How many weeks will it be until Cameron has all the money he needs to buy the
bike

Answers

the answer is 14

Step-by-step explanation:

112 \ 8 is 14 week until he can buy the bike

Can anyone please help me!! D: :D

Answers

Answer:

4

Step-by-step explanation:

18/6=3

24/6=4

42/6=7 ...

Ecologists measure the body length and wingspan of 127 butterfly specimens caught in a single field.

Answers

The wingspan of 127 butterfly specimens is an illustration of the line of best fit

The equation of the line of best fit is y = 3xThe slope means that as the wingspans increase and lengths of these butterflies increaseHow to determine the equation of the line?

From the line of best fit of the graph (see attachment), we have the following points

(x,y) = (0,0) and (20,60)

Since the line passes through the origin, the equation of the line would be:

[tex]y = \frac{y_1}{x_1} * x[/tex]

So, we have:

[tex]y = \frac{60}{20} * x[/tex]

[tex]y = 3x[/tex]

Hence, the equation of the line of best fit is y = 3x

Interpret the slope

In (a), we have the slope to be:

Slope = 3

The slope (3) is greater than 0.

This means that as the wingspans increase and lengths of these butterflies increase

Read more about line of best fit at:

https://brainly.com/question/17261411

Bianca took out a $2,600 unsubsidized stafford loan. she will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. the loan has an interest rate of 6.2%, compounded monthly. how much will she have to pay monthly to avoid interest capitalization? a. $12.40 b. $19.29 c. $13.43 d. $17.36

Answers

The total amount  Bianca has to pay monthly to avoid interest capitalization is $13.43.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount of annual payment is given as,

[tex]A_p=P\times\left(\dfrac{r}{1-1+r}\right)^t\\[/tex]

Here, P is principal amount, the rate is r and time period is t.

Bianca took out a $2,600 unsubsidized stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished.

Total months in ten years,

[tex]t=10\times12\\t=120[/tex]

The loan has an interest rate of 6.2%, compounded monthly. The interest rate is,

[tex]r=0.062[/tex]

Put the values in the above formula as,

[tex]A_p=(2600)\times\left(\dfrac{0.062}{1-1+0.062}\right)^{120}\\A_p=161.32[/tex]

Total payment paid by her in 1 year of time is,

[tex]M_p=\dfrac{161.32}{12}\\M_p=13.43[/tex]

Thus, the total amount  Bianca has to pay monthly to avoid interest capitalization is $13.43.

Learn more about the compound interest here;

https://brainly.com/question/24274034

Help me asp 25 points and will mark

Answers

Y=10x, 10 is the amount of money Miranda earns per hour , x is the amount of hours she works, y is the total amount of money she earns.
For Tommy’s earnings, use slope formula, which is y=y2-y1/x2-x1, take two random points from the table, (4,32) and (5,40)
(4,32) is (x1,y1). (5,40) is (x2,y2)
40-32/5-4= 8/1
The answer is 8. y=8x
Miranda earns more money per hour than Tommy.

1+1 =? sos sos sos sos sos sos sos sos sos sos sos

Answers

Answer:

I think its 2 bro

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

LOL LOL LOL LOL

What's your highest tile in 2048?

I got 131072

Other Questions
Are y'all mad or happy about the time change in some places The equation of the regression line is written below, where y represents the predicted change in sea level and t represents the years since 1993 . y = 0 + 3.2tIdentify the y -intercept of the regression line and explain what it represents in the context of the data. which prepostiton is used infront of pocket Drag each country to the type of government it has today. CyprusSaudi ArabiaQatarLebanondemocracymonarchy Xavier bought 6 oranges from a6store. If he paid $1.74, how much dideach orange cost?$[?]Enter Joel throws a six-sided dice and a six-sided dice at the same time and multiplies the scores.The sample space diagram below shows all the possible outcomes.1 2 3 4 5 61 1 2 3 4 5 62 2 4 6 8 10 123 3 6 9 12 15 184 4 8 12 16 20 245 5 10 15 20 25 306 6 12 18 24 30 36Find the probability that Joel gets a number equal to 20. PLS HELP!!Use the diagram to justify ur answer. a) is r//s? b) is m//n? You purchase softballs for $5.50 each.the total amount you spent on softballs was $11.write and solve an equation to find the number of softballs purchased. Find the solution to 6 divided by 1/3 , using either the flip and multiply method or common denominator method.6/181/18618 Help Me I Need A 100% This Is My Grade On The Line! And I Make You Brianlisty please help answer all of them Drag each tile to the correct box.Put the following events in the correct order based on Samantha's diary entry. 8 cupcakes cost $32. What is the unit cost per cupcake? What are the signaling processes in animal and plant cells? Is there any differences? QuestionMelissa is starting an IT business, and she wants to calculate her cost function. She estimates that to start the business shewill need to spend $2,000 on equipment, $1,000 on advertising, and $5 for every computer that she services. If x is thenumber of computers that Melissa services, write down the cost function C(x) and use it to calculate the total cost if Melissaservices 50 computers.Provide your answer below: Tone, style, and mood nonfiction which of these sentences can be added Solve for x and graph the solution on the number line below.4x226 or6 A chocolate company makes chocolate malt balls that are 0.8 inches in diameter. The carton they are to be packed in is approximately a rectangular prism with the dimensions 4 inches by 3 inches by 7.5 inches. How many malt balls will fit in the How is the right triangle formed? In other words, describe the lines that make leg a and leg b and the hypotenuse c of the right triangle. A rectangle is graphed on the coordinate grid. Which represents the equation of the side that is parallel to side s? a. y = negative x + 9 b. y = negative x minus 3 c. y = x + 9 d. y = x minus 3 When aqueous solutions of (NH4)2CrO4 and Ba(NO3 )2 are combined, BaCrO4 precipitates. Calculate the mass, in grams, of the BaCrO4 produced when 2.76 mL of 0.19 M Ba(NO3 )2 and 3.86 mL of 0.716 M (NH4)2CrO4 are mixed. Calculate the mass to 3 significant figures