What is the solution to the system of equations?

The reason we find the Least Common Factor for one of the variables is to have the coefficients from the top and bottom cancel out each other so we need to make sure one of them is negative and the other is positive.

Now we multiply the entire top equation by the number we multiplied the coefficient infront of x to get -6, and that number is "3" ; so multiplying the rest would by 6 * 3 and -38 * 3. We do the same with the bottom equation but we multiply the rest of the numbers by "2" because that is what we multiplied the 3 by. We would get:

Now we add the values of each coefficient with the ones underneath that correspond to the same variable and we get:

Now we plug in y=-5 into one of the equations and we get:

3x - 4(-5) =32 .... 3x +20 =32 .... 3x=12 ... x=4

x=4 and y= -5