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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

4. Rewriting Equations and Formulas

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Exercise 3 Page 26

Apply inverse operations to isolate y.

y=4-2x

Practice makes perfect

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

12=6x+3y

LHS-6x=RHS-6x

12-6x=6x+3y-6x

Subtract term

12-6x=3y

.LHS /3.=.RHS /3.

12-6x/3=3y/3

Now, we can rewrite the left hand-side of the equation as a difference of two fractions and simplify the equation even further.

12-6x/3=3y/3

Write as a difference of fractions

12/3-6x/3=3y/3

Calculate quotient

4-6x/3=3y/3

MovePartNumRight

a* b/c=a/c* b

4-6/3x=3y/3

Calculate quotient

4-2x=y

Rearrange equation

y=4-2x

Subchapter links

Try It p.26-27

Self-Assessment for Concepts & Skills p.27

Self-Assessment for Problem Solving p.28

Review & Refresh p.29

Concepts, Skills, & Problem Solving p.29-30