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Pearson Algebra 1 Common Core, 2011 View details

1. Solving Systems by Graphing

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Exercise 55 Page 369

Apply inverse operations to isolate y.

y=- 3/2x + 15

Practice makes perfect

To solve the given equation for y, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

1/2x+1/3y=5

SubEqn

LHS-1/2x=RHS-1/2x

1/3y=5-1/2x

MultEqn

LHS * 3=RHS* 3

y=(3)5-(3)1/2x

Multiply

y=15-3/2x

RearrangeEqn

Rearrange equation

y=- 3/2x + 15