Systems of Equations and Inequalities: Systems of Equations

section warm up Section Warm-Up

Before we begin working on this section, let’s go back and practice solving equations. This will be an important skill as we work on solving systems of equations.

Think and Click Icon Solve 5x + 2 = 2x – 8.
 

5x + 2 – 2x = 2x – 8 – 2x
3x + 2 = -8
3x + 2 – 2 = -8 – 2
3x = -10
x = negative ten thirds
 

Think and Click Icon Solve 3(2 – 4x) + 3 = 3x – 2(5x + 3).
 

6 – 12x + 3 = 3x – 10x – 6
9 – 12x = -7x – 6
9 – 12x + 7x = -7x – 6 + 7x
9 – 5x = -6
9 – 5x – 9 = -6 – 9
-5x = -15x
x = 3