Solving a System with Substitution
Equations:
3x + 4y = -4
x + 2y = 2
1. Solve equation 2 for x.
x + 2y = 2.................................................x = -2y + 2
2. Substitute the expression for x into equation 1 and solve for y.
3x + 4y = -4...............3(-2y + 2) + 4y = -4
.........................................................y = 5
3. Substitute the value of y into revised equation 2 and solve for x.
x = -2y + 2.................x = -2(5) + 2
...................................x = 8
The solution is ( -8,5).