Solving Equations with variables on both sides of the Equals Chapter 3.5

Solving Equations with variables on both sides of the Equals  Lesson Objective: NCSCOS Use linear functions to model and solve problems  Students will know how to solve equations with variables on both sides.  Students will know how to use the distributive property to solve problems.  Students will know how to combine like terms to solve problems

Solving Equations with variables on both sides of the Equals  Example 1:  First we must get all the variables on one side of the equation.  Subtract 3x from both sides  Second we have to get all the numbers on the other side  Add 8 to both sides  Divide both sides by 2

Solving Equations with variables on both sides of the Equals 1. 6 – x = 5x y – 2y = 3y m – 8 = 10 – 2m k = k 5. (2/5)x – 8 = 9 – (3/5)x

Solving Equations with variables on both sides of the Equals  Example 2:  Distribute on both sides  Add 10x to both sides  Add 4 to both sides  Divide by 18

Solving Equations with variables on both sides of the Equals 1. -3(x + 5) = 3(x – 1) 2. 5(x + 2) = 2(3 – x) 3. 4(m + 3) = (y – 2) = 2(5 – y) 5. 3(x – 8) = 3x

Solving Equations with variables on both sides of the Equals  Example 3:  Distribute on both sides  Combine like terms on either side of the equals sign  Subtract 3x from both sides  Add 24 to both sides  Divide by 2

Solving Equations with variables on both sides of the Equals 1. 3(x – 8) – 5 = 9(x + 2) (x + 2) + x = 5 + 4(x – 2) 3. 5x – (3x – 3) = 2x + 3(x + 4)

Solving Equations with variables on both sides of the Equals 1. 2x + 3 = 3x – x – 3 = 3 – 2x 3. 2(x + 3) = 3(x – 4) 4. 5(2x – 4) = -6(2 – x) 5. 3(x + 2) – 2x = 4(x -3) + 6