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

To solve this system of equations, we can use the method of substitution or elimination.

Let's use the method of substitution:

From the first equation: 12x - 7y = 2 Rearranging this equation gives: y = (12x - 2) / 7

Now, substitute this expression for y into the second equation:

4x - 5((12x - 2) / 7) = 6 4x - (60x - 10) / 7 = 6 28x - 60x + 10 = 42 -32x = 32 x = -1

Now, substitute the value of x back into the first equation to solve for y:

12(-1) - 7y = 2 -12 - 7y = 2 -7y = 14 y = -2

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