Answer:
x = -26, y = 68
Step-by-step explanation:
Hello!
We first have to isolate x or y in one of the equations
5x + 2y = 6
Subtract 5x from both sides
2y = 6 - 5x
Divide both sides by 2
y = 3 - 5/2 x
Now we can put this into the other equation to solve for x
[tex]8x + 3(3 - \frac{5}{2} x) = -4[/tex]
Expand the 3
8x + 9 - 15/2 x = -4
Combine like terms
1/2 x + 9 = -4
Subtract 9 from both sides
1/2x = -13
Multiply both sides by 2
x = -26
Now we can put this into either of the equations to find y
5(-26) + 2y = 6
Simplify
-130 + 2y = 6
Add 130 to both sides
2y = 136
Divide both sides by 2
y = 68
The answer is x = -26 and y = 68
Hope this helps!
