Mathematics High School

What is the solution to this system of linear equations?
x - 3y = -2
x + 3y = 16


O 1.3
O (3.7)
O2-3)
O (-3,-2)

Answers

Answer 1

Answer:

(3,7)

Step-by-step explanation:

x-3y=-2 -----equation i

x+3y=16-----equation ii

Subtract the two equations from each other

-6y=-18

-6y/-6=-18/-6

y=3

Substitute for x in equation i

x-3(3)=-2

x-9=-2

x=-2+9

x=7

x=7,y=3

Answer 2

Answer:

X is 7, and Y is 3.

Step-by-step explanation:

Step 1: Add 3y to both sides

x - 3y + 3y = -2 + 3y

x = 3y - 2

Step 2: Substitute 3y - 2 for x in x + 3y = 16

x + 3y = 16

3y - 2 + 3y = 16

Step 3: Simplify both sides of equation

6y - 2 = 16

Step 4: Add 2 to both sides

6y - 2 + 2 = 16 + 2

6y = 18

Step 5: Divide both sides by 6

6y/6 = 18/6

y = 3

Step 6: Substitute 3 for y in x - 3y = -2

x - 3(3) = -2

Step 7: Multiply 3 by 3 for 9

x - 9 = 2

Step 8: Switch sides!

x = 9 - 2

Step 9: Subtract 9 minus 2 to get 7

x = 7

With that we have our final answers: x = 7, and y = 3.

Related Questions

Find the measure of the missing angle.
a
20°

Answers

Answer:

160 degrees

Step-by-step explanation:

That is a straight line, meaning that the sum of a and 20 has to equal 180.

a + 20 = 180

a = 180-20

a = 160

160 degrees because it is supposed to add up to 180 so in that case you add 160+20 and it would equal 180 so a=160

What is 38,721 to the nearest hundreds

Answers

Answer:

38,720

Step-by-step explanation:

HELP!!!!
4. Jake can paint a room in 7 hours, and Karen can paint the same room in 5
hours. How long will it take to paint the room if they work together?

Answers

Answer:

6 hours

Step-by-step explanation:

( 7h + 5h)/2 =6h

ANSWER:

It would take them about 3 hours to paint the room together.

EXPLANATION:

The least common denominator of 7 and 5 would be 35, so if we set 7x+5x equal to 35, the answer rounds up to 3. (or 2.9 if rounded to the nearest tenth.)

Reba made a mosaic wall using 42 black tiles and 23 red tiles . what percent presents the number of red tiles in the mural

Answers

Answer:

35% of  red tiles

Step-by-step explanation:

First you have to figure out the total.  

42+23= 65

So plug it in.

23/65 = 35%

Your answer is 35%.

Hope this helped!!!!!!!!!!!!!!!!!

Answer:

35.4%

Step-by-step explanation:

Total of tiles:  42+23= 65 tiles

red tiles/ total amount of tiles

23/65= 0.3538= 35.38%

rounded to the nearest tenth= 35.4%

The distance in miles in the distance in inches vary directly on a map. The legend on the map shows that 16 miles are represented by 0.5 inches. What is the actual distance between the two cities if they are 3 inches apart on the map? In the situation distance in =x.

A) 96 miles
B)72miles
C)80miles
D)104miles

Answers

I think the answers are c but I'm not sure.

The actual distance between the two cities is 96 miles.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that the map shows that 16 miles are represented by 0.5 inches.

Let x miles would be the actual distance between the two cities

When they are 3 inches apart on the map

According to the given situation, we can write the ratio would be as:

16 miles : 0.5 inches = x miles : 3 inches

⇒ 16/0.5 = x/3

Apply the cross-multiplication operation,

⇒ 0.5x = 48

⇒ x = 48/0.5

⇒ x = 96

Therefore, the actual distance between the two cities is 96 miles.

Learn more about the Ratio here:

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I really need help....

Do you think that there is a statistical relationship between price and quality rating? If so, describe the nature of the relationship​

Answers

Answer:

We find little evidence of correlations between price and quality rating, but customers tend to rate higher priced features less favorably than lower priced features.

Step-by-step explanation:

I don’t understand this question please please help!

Answers

Answer:

A) the domain is the x

Step-by-step explanation:

Answer:

a (2, 4, 7, 14, 16)

Step-by-step explanation:

domain is the x values, the input, of the relation

Read the problem and answer the questions show your solution when necessary. ​

Answers

Answer:

Step-by-step explanation:

1) Number of white chocolate bars = x

Number of dark chocolate bars = y

Total bars = 15

x + y = 15 --------------(I)

Total cost = Php. 340

20x + 25y = 340 ----------------(II)

2)  We can use elimination method to solve this equations.

Multiply equation (I) by (-20) and then add the equations.

(I)* (-20)          -20x  -20y = - 300

(II)                    20x + 25y = 340     {Now add and x will be eliminated}

                                  5y = 40

                                    y = 40/5

y = 8

Substitute y = 8 in equation (I)

x + 8 = 15

      x = 15 - 8

x = 7

3) Number of dark chocolate bars = 8

Marta is making a flag with the given dimensions. The perimeter of the flag is 100 inches. A triangle has side lengths of 18 inches and 41 inches. How much material, in square inches, is needed to make the flag? square inches If the material costs $0.15 per square inch, how much will Marta spend on materials to make the flag? $

Answers

Answer: 54

Step-by-step explanation:

trust me

360 sq feet

$54

source: truuuuust me bro

1. In a group of 60 students,31 speak French,23 speak Spanish. determine the number of students who speak.

(A) Both French
(B) French Only
(C) Spanish Only




​

Answers

the answer is (a) both

Which graph represents a linear function?

Answers

Answer:

Please check the explanation below.

Step-by-step explanation:

Note: As you forgot to mention the graphs of a linear function. But, let me clear your concept with an example of a linear function.

We know that linear function is of the form

y = mx+b

where

m is the slopeb is the y-intercept

We know that the graph of a linear function is a straight line because the highest power of the exponent of the x variable is 1.

Thus, y = mx+b represents a straight line.

For example,

Let the linear function

y = 2x+3

comparing with the linear function of the form y = mx+b

The slope = m = 2The y-intercept b = 3

As the highest power of the exponent of a variable is 1, therefore y = 2x+3 represents a straight line.

The graph of the linear function y = 2x+3 is also attached below.

Help help hurry

Write the equation of the line that passes through (9, 3) and has a slope of -6.
Oy= 3x +9
Oy= -12x + 9
Oy=-6x + 57
Oy=9x - 6

Answers

Answer:

y=-6x + 57

u can use desmos to help u nxt time

4. What number is 16% of 44
n = 16 x 44 (n = 704)
044 = 0.16 x n (n = 275)
O n = 0,16 x 44 (n = 7)
0.16 = n x 44 (n = 0.4)

Answers

The answer is 7. 04 so it might be either the 1 at choice or the 3rd

graph the opposite of the opposite of 2 on the number line click on the number line to identify the numbers location

Answers

Answer:

-2

Step-by-step explanation:

The opposite of 2 is -2.

I need help with this

Answers

It’s 13. To get this you would use the Pythagorean Theorem.

Last year, Jay was 96 inches tall. This year, he is 108 inches tall. What is the percent increase in Jay’s height

Answers

Answer: 12.5%

Step-by-step explanation:

108-96=12, so he grew 12 inches.

12/96=0.125,

0.125*100=12.5, 12.5%

wat is the answer to this question

Answers

Answer:

D

answer id D: F and C

Step-by-step explanation:

when we reflect across the x axis, x stays the same and y changes sign

of 54 cities, 7 have a lake and 25 have a river running through them. What fraction of these 54
cities have a lake or a river running through them? Show your work.

Answers

Answer:

32/54 which could reduce to 16/27 or 59.3%

Step-by-step explanation:

7+25=32 have a river or lake

54 total cities

32/54=59.3

Determine how far the vehicle travels in 3 hours.

A ferry travels 45 miles every 1 1/2
hours.

Answers

Answer:

90 miles

Step-by-step explanation:

1 1/2 is half of 3 so just multiply 45 by two

Be sure to show all work and not just the answer. Please help ASAP.

Answers

The answer is 30 Degrees. 180-90-60= 30. This is because if triangles are equal, they will be the same

ahhh please help i don’t understand thissss

Answers

Answer:

24y^3/x^5

Step-by-step explanation:

Since 6x and 4x are not in a parentheses, they are not being powered by anything. Therefore, those stay on the numerator side.

Anything to the power of something times another to the power of something is always added together. Since -1 + (-4) is -5, x would end up having a power of -5, which would just make it go on the denominator side with just a power of 5.

Same rule with y follows. This would make it 5+ (-2) = 3. Since this is a positive power, it stays at the numerator side.

What is the volume of this rectangular prism?
3 units
1 cubic unit
3 units

Answers

Answer:

Step-by-step explanation:

3x3x3 is 46 than 46 _ 4 is 57

The answer is 27 units

What is the Volume of Rectangular Prism?

The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases. It has 6 faces (all are rectangular),12 sides, and 8 vertices. As the rectangular prism is a three-dimensional shape (3D shape), the unit that is used to express the volume of the rectangular prism is cm3, m3 and so on.

Given here: The dimensions as 3,3,3

Thus the volume is = 3³

                                =27

Hence, The answer is 27 units

Learn more about prisms here:

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A side of Ari's aquarium is a square with an area of 190 square inches. The length of each side of the square is

Answers

Answer:

√190 square inches

Step-by-step explanation:

.................

Please help ill give brainly ❤️

Answers

Answer:

the answer is c because it is the only one with the y intercept

Sbhsbshsbhsbshsbhsbshs

Answers

Answer:

d=7

Step-by-step explanation:

The answer is d please give me a thanks I would really appreciate it

Will mark BRAINLIST for only correct answer
Need help ASAPP
( if you don’t know or not sure please don’t answer)

Answers

Answer:

The slobe would be negative

because from the height, it is decreasing

Answer:  b. negative

=======================================================

Explanation:

Each time x goes up, y goes down. This inverse relationship means we have a negative slope.

----------

We can apply the slope formula to get further proof.

Let's say we pick the first two columns to form the points (1,24) and (2,18)

Then apply the slope formula to get...

m = (y2-y1)/(x2-x1)

m = (18-24)/(2-1)

m = -6/1

m = -6

The slope is -6.

----------

Visually we can see that the line goes downhill as you move from left to right. See the diagram below.

22.5(10-y)+27.5y=250 what does y equal

Answers

Answer:

5

Step-by-step explanation:

hope it helped

Find the slope of the line that passes through (-61, 3) and (-41, 31)​

Answers

Answer:

Fraction - 7/5

Decimal - 1.4

Step-by-step explanation:

True or False: (1, 3) is a solution to the system of linear equations shown
below.
y= 4x - 1
y = x + 2

Answers

Answer:

True

Step-by-step explanation:

(1, 3) is a solution to the system of linear equations shown is true

Answer:

True

Step-by-step explanation:

You can substitute x = 1 and y = 3 into both equations and see if it's true or not.

y = 4x - 1

becomes

3 = 4(1) - 1

3 = 4 - 1

3 = 3

True

y = x + 2

becomes

3 = 1 + 2

3 = 3

True

Since both equations come out true, this (1, 3) is a solution.

Enter your answer and show all the steps that you use to solve this problem.
Write a list of steps that are needed to find the measure of ∠B.

Answers

9514 1404 393

Answer:

  ∠B = 41°

Step-by-step explanation:

Step 1: Recognize that ∠B and ∠A are "remote interior angles" with respect to the exterior angle at C. Hence their sum will be equal to the measure of the exterior angle.

Step 2. Compute angle B as the difference between the exterior angle at C and the interior angle at A:

  113° - 72° = ∠B = 41°

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