Question

Solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y​

Answer 1

3, -8

(x is equal to 3 and y is equal to -8)

Explanation:

The system:

{ 7x=-67-11y

{ 5x=-73-11y​

Finding a value for x:

7x=-67-11y -> x =
`-(67)/(7)` -
`(11y)/(7)`

Solving for y by plugging in our x:

[Equation] 5x = -73 -11y​

[Plug-in] 5(
`-(67)/(7)` -
`(11y)/(7)`) = -73 -11y​

[Distribute the 5]
`-(335)/(7)` -
`(55y)/(7)` = -73 -11y​

[Multiply by 7] 7 (
`-(335)/(7)` -
`(55y)/(7)`) = (-73 -11y​) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

Plug in our y to solve for x:

5x = -73 -11y​

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather