Example Question - elimination of variables

Solving Equations with Elimination of Variables

To solve for x, we have these two equations from the image without the y variables: 1) -2x + 4y = 15 2) -12x - 4y = -8 Adding these two equations together will eliminate the y terms since they have opposite coefficients: -2x + 4y = 15 -12x - 4y = -8 ---------------- -14x = 7 Now, we solve for x by dividing both sides of this equation by -14: -14x / -14 = 7 / -14 x = -1/2 Therefore, the value of x is -1/2, which corresponds to option A: -1/2.