Multiply the second equation by -2 and you will get the following new system:
[tex] [tex] \frac{5}{2} x +2y = -2 2x - 2y = -4
Adding the two equations results in the following equation:
[tex] \frac{1}{2} x = -6 Multiply both sides of this equation by 2 and you see x = -12
Now, substitute -12 back into either equation for x and solve for y:
i.e. -(-12) + y = 2 from the second equation
Solving for y: y = -10 and the solution is the ordered pair (-12,-10)