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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Maintaining Mathematical Proficiency

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Exercise 7 Page 163

Apply inverse operations to isolate y.

y=4x-5

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.

0=2y-8x+10

LHS+8x=RHS+8x

0+8x=2y-8x+10+8x

Add terms

8x=2y+10

LHS-10=RHS-10

8x-10=2y+10-10

Subtract term

8x-10=2y

.LHS /2.=.RHS /2.

8x-10/2=2y/2

Write as a difference of fractions

8x/2-10/2=2y/2

Calculate quotient

4x-5=y

Rearrange equation

y=4x-5

Subchapter links

Exercises p.163