12x-7y=2 4x-5y=6

To solve this system of equations, you can use the method of substitution or elimination. Let's use the elimination method in this case.

Given equations:

1. 12x - 7y = 2
2. 4x - 5y = 6

To eliminate y, multiply equation 2 by 7 and equation 1 by 5: 7(4x - 5y) = 7(6) → 28x - 35y = 42 5(12x - 7y) = 5(2) → 60x - 35y = 10

Subtract the second equation from the first equation to eliminate y: 28x - 35y - 60x + 35y = 42 - 10 -32x = 32 x = -1

Now substitute x = -1 back into any of the original equations, for instance, equation 1: 12(-1) - 7y = 2 -12 - 7y = 2 -7y = 14 y = -2

So, the solution to the system of equations is x = -1 and y = -2.