There is an error in solving the following system. Explain the error and how you would correct it.
y=3x-4
3x-2y=13
3x-2(3x-4)=13 y=3(-7)-4
3x-6x-8=13 y=-21-4
-3x-8=13 y=-25
-3x=21
x=-7
Solution: x = -7 y = -25
The error occurs in these two steps......
3x-2(3x-4)=13
3x-6x-8=13
When the "-2" is distributed across the "-4" inside the parentheses, the result should be a positive 8, rather than a negative 8.