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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 10 Page 163

Apply inverse operations to isolate y.

y=-3/4x-1

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.

y-4=3x+5y

LHS+4=RHS+4

y-4+4=3x+5y+4

Add terms

y=3x+5y+4

LHS-5y=RHS-5y

y-5y=3x+5y+4-5y

Subtract terms

-4y=3x+4

.LHS /(-4).=.RHS /(-4).

-4y/-4=3x+4/-4

Write as a sum of fractions

-4y/-4=3x/-4+(4/-4)

- a/- b=a/b

4y/4=3x/-4+(4/-4)

MoveNegDenomToFrac

Put minus sign in front of fraction

4y/4=-3x/4+(-4/4)

a+(- b)=a-b

4y/4=-3x/4-4/4

Calculate quotient

y=-3x/4-1

a/b=1/b* a

y=-3/4x-1

Subchapter links

Exercises p.163