Question

Simplify your answer

Answer 1

x = 4

y = 3

Explanation:

y = 4x - 13

-4x + y = -13

2x + 3y = 17

-4x + y = -13 | ×1 |

2x + 3y = 17 | ×2 |

-4x + y = -13

4x + 6y = 34

___________+

7y = 21

y = 21/7

y = 3

2x + 3y = 17

2x + 3(3) = 17

2x + 9 = 17

2x = 17 - 9

2x = 8

x = 8/2

x = 4

Answer 2

Answer:
`x=4\\y=3`

Explanation:

`y=4x-13\\2x+3y=17`

Since our ''y'' is already isolated, you can simply plug ''y'' information into the second equation.

`2x+3y=17\\2x+3(4x-13)=17\\2x+12x-39=17\\14x=17+39\\14x=56\\x=(56)/(14) \\x=4`

Now we can use the first equation and replace ''x'' to find ''y''

`y=4x-13\\y=4(4)-13\\y=16-13\\y=3`

To prove that your values are correct, take any of the equations and replace their values.

`y=4x-13\\3=4(4)-13\\3=16-13\\3=3`