1.3 Solving Equations with Variables on Both Sides

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Presentation transcript:

1.3 Solving Equations with Variables on Both Sides

Goal: Get the variables to one side of the equation and the constants to the other side using APE or SPE

Example :

Steps to solve multi-step linear equations If there are ( ) distribute Collect like terms on same side. Move variables to same side of equation. (APE or SPE) Move the constant to the other side of the equation (APE or SPE) Solve for x using the (MPE or DPE)

Example : 6m +5 – 2m = 10 – 3m +16 4m +5 = 26 – 3m +3m 7m +5 = 26 -5

3(n - 2) – 1 = 2 – 5(n + 5) 3n - 6 – 1 = 2 – 5(n + 5) Ex 4: 3n - 6 – 1 = 2 – 5(n + 5) 3n - 6 – 1 = 2 – 5n - 25 3n - 7 = -23 – 5n 5n + +5n 8n - 7 = -23 +7 +7 8n = -16 n =-2

No Solution VS. Infinitely Many Solutions Variable cancels out Left with a false equation Variable cancels out Left with a true equation

Assignment: TB: Page 22 (6-24) even