Step 1: Solve one of the equations for one of its variables.

Step 2: Substitute the expression from step 1 into the other equation and solve for the other variable.

Step 3: Substitute the value from step 2 into the revised equation from step 1 and solve.

Note: Substitute the answer back into the original equations to check.

3x+4y=-4

x+2y=2

1: Solve Eq. 2 for x.

x+2y=2

x=-2y+2

2: Substitute the expression for x into Eq. 1 and solve for y.

3x+4y=-4

3(-2y+2)+4y=-4

y=5

3: Substitute the value of y into revised Eq. 2 and solve for x.

x=-2y+2

x=-2(5)+2

x=-8

The solution is (-8,5)