What is the solution to the system of equations?

{y=5x−10y=−3x+14

Answers

Answer 1

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.


Related Questions

What is the solution to this inequality?

6x−5 > −29


​ x −4 ​

​ x>4 ​

Answers

Answer: x>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

6x−5>−29

Step 1: Add 5 to both sides.

6x−5+5>−29+5

6x>−24

Step 2: Divide both sides by 6.

6x/6>-24/6

x>-4

Answer:

x > -4

Step-by-step explanation:

I took the test k12

Using the graph determine the equation of the axis of symmetry

Answers

it’s is 1
wherever the vertex is, is the line of symmetry

Two years ago a man was five times as old as his son. Two years later his age will be eight more than three times as old as his son . Find there present age

Answers

Answer:

The age of man is 42 years and the age of his son is 10 years.

Answer: Father 42 and son 10

Let the age of the father is x years and that of the son is y years.

Then by the given question,

x-2=5(y-2)

or, x-5y=-10+2

or, x-5y=-8

or, x=5y-8

x+2=3(y+2)+8

or, x-3y=6+8-2

or, 5y-8-3y=12

or, 2y=12+8

or, y=20/2

or, y=10

then x=5y-8=50-8=42

Then, the age of father is 42 yrs. and the age of sun is 10 yrs.

can some plz help wit dis?​

Answers

Answer:

x = 15

Step-by-step explanation:

One side length, 49 ft, is given. The opposite side is equal to this. So solve (5x - 26) = 49. Add 49 + 26 to get 75. Then divide 75 by 5 to get 15.

Hope it helps!

i need help answering this 6(2z+5-z)

Answers

Answer:

6z+30

Step-by-step explanation:

Answer:

6z+30

Step-by-step explanation:

6(2z+5-z)=6(z+5)=6z+30

Mayra bought $$ grams of rice. Anika bought $$ more than Mayra bought. Select ALL of the equations that represent the relationship between the amount of rice that Mayra bought, $$, and the amount of rice that Anika bought, $$.

Answers

Answer:

22

Step-by-step explanation:2

2

solve for x 6(4x+1)=78

Answers

Answer:

x=3

Step-by-step explanation:

here,

6(4x+1)=78

or,24x+6=78

or,24x=78-6

or,24x=72

or, x=72/24or, x=3SO, THE ANSWER IS: 3.

9(2x + 5) − (x − 4)= ?

Answers

17x + 49

Have a great day!

Can someone pls help me?

Answers

Answer: 24, 10, 68, 17

Step-by-step explanation:

jake travels 6 hours for a total of 444 miles on 20 gallons of gas, rate for gallons and hours.

Answers

Answer: 5 gallons per hour.

Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)

[tex]\frac{30/6}{6/6}=\frac{5}{1}[/tex]

Therefore, our answer is 5.

5 gallons per hour. Have a wonderful day!:)

Explain why two perpendicular lines will remain perpendicular if they are both dilated by the same factor
and using the same center

Answers

Answer:

because they are congruent to the original angle

Step-by-step explanation:

they are congruent to the original triangle. nothing will change.

The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.

What is congruent?

The Two geometric figures should treated be congruent in the case when it should have coincided. Since the both perpendicular lines are dilated by the same factor also the same center should be used due to this, the two perpendicular lines should remain perpendicular.

Therefore, The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.

Learn more about  lines here: https://brainly.com/question/24271130

Round and/or estimate then add (nearest hundred)
1) 1242, 951, 749, 877

2) 648, 722, 857, 778

Answers

Answer:

1.1200,1000,800,900

2.600,700,900,800

Step-by-step explanation:

pa mark

Find the first five terms of the recursive sequence.

Answers

Answer:

The first five terms of the recursive sequence are;

5, 12, 19, 26, 33

Step-by-step explanation:

The given sequence is presented as follows;

aₓ = a₍ₓ ₋ ₁₎ + 7

The first term of the sequence, a₁ = 5

Therefore, we have;

a₂ = a₍₂ ₋ ₁₎ + 7 = a₁ + 7 = 5 + 7 = 12

a₃ = a₍₃ ₋ ₁₎ + 7 = a₂ + 7 = 12 + 7 = 19

a₄ = a₍₄ ₋ ₁₎ + 7 = a₃ + 7 = 19 + 7 = 26

a₅ = a₍₅ ₋ ₁₎ + 7 = a₄ + 7 = 26 + 7 = 33

The first five terms of the recursive sequence are therefore;

5, 12, 19, 26, 33.

Joseph is paid $210 per week, plus $18 for each extended car warranty he sells. His supervisor raises his pay by $35 each week. Which function represents his new weekly pay, R(w), when he sells w extended warranties?
Find the value of x in the triangle. 1 and 4.

Answers

Answer:

263

Step-by-step explanation:

^2–x + c
PLS HELP IN THIS QUESTION
AND ALSO PLS SHOW THE WORK

Answers

Eight-year-olds can count to the highest number

Gianna has 10 yards of fabric. She needs 2/5 of what she has. How much does she need?

Answers

Answer:

why does she have so much

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Because 2/5 x 10/1 = 4

The measures of the angles of a triangle are in the ratio 2.3.4. What is the number of degrees in the measure of the largest angle?

Answers

Answer:

let ratios be x

2x +3x+4x=180(Sum of triangles)

x=20`

2X=20

x=20×2

X=40

3x=20

X=60

4x=20

x=80

largest angle is 80

Step-by-step explanation:

plz make me brainliest

Answer:

80°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the parts of the ratio, 2 + 3 + 4 = 9 parts

Divide 180° by 9 to find the value of one part of the ratio

180° ÷ 9 = 20° ← value of 1 part of ratio, then

2 parts = 2 × 20° = 40°

3 parts = 3 × 20° = 60°

4 parts = 4 × 20° = 80°

The measure of the largest angle is 80°

write the following number words in symbols. 1.one hundred twenty-seven thousand, four hundred fifty-nine 2.Two hundred six million, three hundred twenty thousand, ninety-six 3.Three hundred twenty-two and 38 hundredths

Ty<33​

Answers

1) 127,459
2) 206,320,096
3) 322.38

Need help with mymathlab problem

Answers

I can’t see your math lab problem, it’s not possible unless you could have shown me the footage based on the problem
i cant see a picture

Which of the values of m and b will create a system of equations will infinitely many solutions y=mx+b ,y=-2x+4

Answers

I hope and useful for your help

What is the greatest common factor of
8x - 28

Answers

8 and 28 is 4 i think i’m not 1000% sure i tried

Graph the relation shown in the table. Is the relation a function? Why or why not?
x y
-1 - 3
-1 - 2
0 - -4
4 - 2

No; a vertical line passes through two graphed points.

Yes; no horizontal line passes through two graphed points.

Yes; no vertical line passes through two graphed points.

No; a horizontal line passes through two graphed points.

Answers

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

x + 6 y = 5

6 x + 2 y = 8

x − y + 4 = 8

Use the given functions to set up and simplify  

2 .

x y =

− 1 =

3 =

− 1 =

2 =

0 − 4 = − 4

4 = − 4

2 = − 4

Step-by-step explanation:

Find the equation with a point and y-intercept.

y = ( y/ x  −  y )  x  +  x y

The chosen topic is not meant for use with this type of problem. Try the examples below.

( 0 , 9 )  ,  ( 8 , 6 )

( 0 , 9 )  ,  ( 5 , 4 )  ,  ( 1 , 4 )

( 1 , 2 )  ,  ( 3 , 4 )

Karl found the products of whole numbers and fractions. Match each expression with its product. 3 × 2 5 × 6 4 × 3 3 × 1 3 8 4 2 36 ❒ ❒ ❒ ❒ 8 3 ❒ ❒ ❒ ❒ 11 ❒ ❒ ❒ ❒ 2 6. What is the product of 2 and 3 6. 2 ❒ ❒ ❒ ❒

Answers

The question isn't well formatted :

From what is obvious, the result of the product are given below :

Answer:

2 × 3 = 6

5 × 6 = 30

4 × 3 = 12

3 × 1 = 3

Step-by-step explanation:

Using calculator :

The product of 2 and 3 : 2 * 3 = 6

Product of 5 and 6 : 5 * 6 = 30

Product of 4 and 3 : 4 * 3 = 12

Product of 3 and 1 : 3 * 1 = 3

What angle relationship best describes angles AFC and DFB?

A) Adjacent angles
B) Complementary angles
C) Linear pairs
D) Vertical angles ​

Answers

Answer:

Vertical Angles

Step-by-step

I believe this is the case because since the angles intercept in order to form also it's the only answer that has to do with intercepting from what we can see from the diagram.

There are different types of relationships between angles including alternate, corresponding, vertical, adjacent, complementary and supplementary angles

The correct option for the relationship that best describes angles AFC and DFB is option D;

D) Vertical angles

The reason the chosen option is correct is as follows;

The given diagram shows line EF perpendicular to line AB and line CD crosses line AB at point F

Therefore, the angles ∠AFC and ∠DFB formed by lines AB and CD with their orientation in the order of their names are opposite to each other and other are known as vertical angles

Learn more about vertical angles here:

https://brainly.com/question/18292462

There are 2 gallons for every 8 quarts. If there are 12 quarts, how many gallons are there?

Answers

Step-by-step explanation:

To convert from gallons to quarts, multiply the gallon value by the conversion factor. For example, if converting from US fluid gallon to US fluid quart, then multiply the gallon value by 4. For example, to find out how many quarts in a half gallon of water, multiply 4 by 0.5, that makes 2 quarts in a half gallon.

What is the slope of the line

Answers

Answer:

[tex]\displaystyle m=\frac{-3}{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (8, 0)

Point (0, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{3-0}{0-8}[/tex][Fraction] Subtract:                                                                                         [tex]\displaystyle m=\frac{3}{-8}[/tex][Fraction] Simplify:                                                                                           [tex]\displaystyle m=\frac{-3}{8}[/tex]

Eudora ran from her home to her secret laboratory at an average speed of 12\text{ km/h}12 km/h12, start text, space, k, m, slash, h, end text. She then took one of her jetpacks and flew to her school at an average speed of 76\text{ km/h}76 km/h76, start text, space, k, m, slash, h, end text. Eudora traveled a total distance of 120120120 kilometers, and the entire trip took 222 hours. How long did Eudora spend running, and how long did she spend flying using her jetpack? Eudora ran for hours and flew for hours using her jetpack.

Answers

Answer:

Eudora spent 0.5 hours from home to library and 1.5 hours from library to school

Step-by-step explanation:

Given

Home to Library:

[tex]S_1 = 12km/h[/tex] -- Average Speed

Library to School

[tex]S_2 = 76km/h[/tex] -- Average Speed

Total

[tex]Distance = 120km[/tex]

[tex]Time = 2\ hr[/tex]

Required

Determine the time taken from home to library and from library to school

Let the time spent from home to library  be x. So, from library to school will be: 2 - x

So, we have:

Home to Library:

[tex]S_1 = 12km/h[/tex] -- Average Speed

[tex]T_1 =x[/tex] -- Time

Library to School

[tex]S_2 = 76km/h[/tex] -- Average Speed

[tex]T_2 =2 - x[/tex] -- Time

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

Home to Library:

[tex]D_1 = S_1 * T_1[/tex]

[tex]D_1 = 12 * x[/tex]

[tex]D_1 = 12x[/tex]

Library to School:

[tex]D_2 = S_2 * T_2[/tex]

[tex]D_2 = 76 * (2- x)[/tex]

[tex]D_2 = 152- 76x[/tex]

The total distance is 120km. So, we have:

[tex]120km = D_1 + D_2[/tex]

[tex]120 = 12x + 152 - 76x[/tex]

Collect Like Terms

[tex]120 - 152 = 12x - 76x[/tex]

[tex]-32 = -64x[/tex]

[tex]-64x=-32[/tex]

Solve for x

[tex]x = \frac{-32}{-64}[/tex]

[tex]x = 0.5[/tex]

Recall that:

[tex]T_1 =x[/tex]

[tex]T_2 = 2 - x[/tex]

So, we have:

[tex]T_1 = 0.5[/tex]

[tex]T_2 = 2 -0.5 = 1.5[/tex]

Helllllpppp meeeee I neeedddd hellllpppp nowwww pleaseeee

Answers

Answer:

C

Step-by-step explanation:

They are all integers so they are rational numbers, they are whole numbers as well except there are negative numbers so they are not all natural.

Your parents give you $20 to help buy the new pair of shoes shown. After you buy the shoes, you have $5.50 left. How much money did you have before your parents gave you $20?

Answers

Answer:

$45.45

Step-by-step explanation:

Please find attached an image of the shoe that was used in answering this question

From the image, the price of the shoe is $59.95

Let x be the amount you had with you

The equation that would be used to solve this question is :

(x + 20) - $59.5 = $5.50

Solve for x

x = $45.45

Andy buys 8 juice boxes. Each juice box contains 6.25 ounces of juice. How much juice did Andy buy?​

Answers

Answer:

8*6.25=50

50

Step-by-step explanation:

Other Questions
Countries in the North Atlantic Treaty Organization agreed to Describe Life in Salem at the time of the Salem witch trials? (-3a^2 + 4a -5 +6a^3) + (-3a + 4 + 10a^2) What property is demonstrated in the equation below? 4(5 + 3) = (5 + 34 associative commutative o distributive zero product Qu relacin tienen los calendarios con las estrellas?Crees que los hombres siempre se han relacionado con las Estrellas? In a school contest, each student draws a number from 1 to 5 out of a large basket. The outcomes are shown in the table below.Number Drawn 1 2 3 4 5Times Drawn 83 79 88 72 85Based on the data, what is the expected probability of drawing a 3? how did american revolution affect child labor How many grams of O2 are formed from 13.34 moles of KClO3? Provide your final answer rounded to two decimal places. 2 KClO3 2 KCl + 3 O2 In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third angle is four times the measure of the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?26 degrees50 degrees104 degrees136 degrees If a cell were compared to a school, which part of the school would represent the cell's nucleus? the classroom walls because they give the structure to the schoolBthe cafeteria cooks because they make food for the entire schoolthe principal because he or she controls all the activity in the schoolDthe fence because it controls what enters and exits the school oigan ayuda mmm... cunto es 100x800 graciasxd How many molecules of NADH are formed in the citric acid cycle from one molecule of glucose?a. 2 b. 6 c. 1 d. 3 Pls help ! In an argument or persuasive essay, the claim is the central idea. It is the mostimportant part of the essay because everything else is connected to it. To write aclaim, you must:Select all that apply. (you will select 4)Identify the topic.State an opinionUse specific languageCite details or evidenceProvide background information and a hook A solute that has been dissolved in a solvent ________.Select one:a. cannot be recovered by any meansb. can be recovered by a process involving its chemical propertiesc. can be recovered by a process involving its physical propertiesd. is chemically changed Heat will continue to move until the objects or areas have reached the same ______. A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find theratio of rabbits to the total number of animals. Write the ratio insimplest form. If we have a DNA gene that reads: TACGCGTCAGGCCAAThe Transcribed mRNA would read What is the difference between elastic PE and gravitational PE? In the Friends episode "The One Where They're Going to Party", how did Rachel's boss die? Help pleassssee An investment of 150 increases by 2.5% each year, for 3 years. Calculate the value of the investment at the end of the period