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 = [tex]-\frac{67}{7}[/tex] - [tex]\frac{11y}{7}[/tex]
Solving for y by plugging in our x:
[Equation] 5x = -73 -11y
[Plug-in] 5([tex]-\frac{67}{7}[/tex] - [tex]\frac{11y}{7}[/tex]) = -73 -11y
[Distribute the 5] [tex]-\frac{335}{7}[/tex] - [tex]\frac{55y}{7}[/tex] = -73 -11y
[Multiply by 7] 7 ([tex]-\frac{335}{7}[/tex] - [tex]\frac{55y}{7}[/tex]) = (-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
