Find the solution of the system of equations.minus, 2, x, minus, 2, y, equals, 0−2x−2y=0minus, x, plus, 4, y, equals, 40−x+4y=40

Sure, let's solve the system of equations step by step.

The system of equations is:

-2x - 2y = 0 -x + 4y = 40

Step 1: Simplify the equations if possible. The first equation can be simplified by dividing all terms by -2:

x + y = 0

So now we have:

x + y = 0 -x + 4y = 40

Step 2: Solve one of the equations for one variable. The first equation can be solved for x:

x = -y

Step 3: Substitute the expression from step 2 into the other equation. Substituting x = -y into the second equation gives:

-(-y) + 4y = 40 y + 4y = 40 5y = 40

Step 4: Solve for y. Dividing both sides of the equation by 5 gives:

y = 8

Step 5: Substitute y = 8 into the first equation to solve for x:

x + 8 = 0 x = -8

So the solution to the system of equations is x = -8, y = 8.