3.5 More on Solving Equations
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3.5 More on Solving Equations Goal: To solve equations by first getting all variables to the same side of the equation. 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)

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3 5 more on solving equations goal

3.5 More on Solving Equations

Goal:

  • To solve equations by first getting all variables to the same side of the equation


3 5 more on solving equations goal

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)

  • Move the constant to the other side of the equation (APE)

  • Solve for x using the (MPE)


If there are variables on both sides of the equation

+ 3x

+ 3x

If there are variables on both sides of the equation….

  • Eliminate the variable from one side using the Addition Property of Equality

2x – 2 = -3x + 3

5x – 2 = + 3


Solve for x

Solve for x:


3 5 more on solving equations goal

+3m

+3m

-5

-5

  • Collect like terms on the same side first

  • Eliminate the variable from one side using the Addition Property of Equality

6m +5 – 2m = 10 – 3m +16

4m +5 = 26 – 3m

7m +5 = 26

7m = 21

m =3


3 5 more on solving equations goal

+3m

+3m

-5

-5

6m +5 – 2m = 10 – 3m +16

4m +5 = 26 – 3m

7m +5 = 26

7m = 21

m =3


3 n 2 1 2 5 n 5

3(n - 2) – 1 = 2 – 5(n + 5)

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


3 5 more on solving equations goal

3(2y +7) = 30 + 7(y - 1)

You try this one and raise your hand once you get the answer!

y = -2


Assignment workbook page 16 10 23 all do on a separate sheet of paper and show all work

Assignment:Workbook Page 16 (10-23) all-Do on a separate sheet of paper and show all work


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