How 2 Solve Linear Systems by Using the Substitution Method:

Step #1: List the 2 given Equations!

Equation 1: 3x + 4y = -4
Equation 2: x + 2y = 2

Step #2: Solve Equation 2 for x.

Write Equation 2. x + 2y=2
Revised Equation. x = -2y+2

Step #3: Substitute the expression
for x into Equation 1 and solve for y.

Write Equation 1. 3x + 4y = -4
Substitute -2y + 2 for x. 3(-2y+2) +4y=-4
Solve for y. y=5

Step #4: Substitute the value of
y into revised Equation 2 and solve
for x.

Write revised Equation 2. x=-2y + 2
Substitute 5 foy y. x=-2(5) + 2
Simplify. x=-8

  *The solution is (-8,5)