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 substitution method to solve this system of equations:

Given equations:

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

From equation 2, we can express x in terms of y: 4x = 5y + 6 x = (5/4)y + 1.5

Now, substitute x in equation 1 with the expression we found above:

12((5/4)y + 1.5) - 7y = 2 15y + 18 - 7y = 2 8y = -16 y = -2

Now that we have found y, substitute it back into one of the original equations to find x:

4x - 5(-2) = 6 4x + 10 = 6 4x = -4 x = -1

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