Question

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

Answer 1

Answer:

3, -8

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

Step-by-step explanation:

The system:

{ 7x=-67-11y

{ 5x=-73-11y​

Finding a value for x:

7x=-67-11y -> x = $-\frac{67}{7}$ - $\frac{11y}{7}$

Solving for y by plugging in our x:

[Equation] 5x = -73 -11y​

[Plug-in] 5($-\frac{67}{7}$ - $\frac{11y}{7}$) = -73 -11y​

[Distribute the 5] $-\frac{335}{7}$ - $\frac{55y}{7}$ = -73 -11y​

[Multiply by 7] 7 ($-\frac{335}{7}$ - $\frac{55y}{7}$) = (-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!

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- Heather