Follow the directions to solve the system of equations by elimination.

8x + 7y = 39

4x - 14y = - 68

To solve a system of equation by elimination, the coefficients of the same variable of both equations must be equal. In this case, let's choose y.

In order to make the coefficient of y of the second equation be equal to 7, we divide it by 2. Resulting to:

2x - 7y = - 34

Next, add the two solutions so that the y term is eliminated. The result is:

10x = 5

Then solve for x

x = 1/2

Substitute x to either of the solution to solve for y. The result is:

y = 5