Answer:
(-4,-7)
Explanation:
Multiply both sides of the first equation by-5 or 2 (I'll use 5) and both sides of the second equation by - 2 or 3 (I'll use -2).
3x - 2y = 2
5(3x-2y)= 5(2)
-15x - 10y = 10
2x - 5y = 27
-2(2x - 5y) = -2(27)
-4x + 10y = -54
Now you see that the absolute values of the y-values of the 2 equations match up . They are still the same equations but scaled up.
-15x + 10y = 10
-4x - 10y = -54
Add to eliminate y.
-11x = 44
Divide both sides by -11.
x = -4
Plug back in to either equation to solve. I'll use the first equation.
3x - 2y = 2
x = - 4
3(-4) - 2y = 2
-12 - 2y = 2
Add 12 on both sides.
-12 + 12 - 2y = 2 + 12
- 2y = 14
Divide -2y on both sides.
y = -7
(-4,-7)