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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Ratios and Proportions

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Exercise 26 Page 547

You can solve the proportion by using the Cross Products Property.

10

Practice makes perfect

To solve the proportion, we will start by using the Cross Products Property. Remember that we will need to treat a+2 and a-2 as single quantities in the cross multiplication process.

a+2/a-2=3/2

Cross multiply

(a+2)2=(a-2)3

From here, we will continue solving for a by using the Distributive Property and the Properties of Equality.

(a+2)2=(a-2)3

Distribute 2

2a+4=(a-2)3

Distribute 3

2a+4=3a-6

LHS+6=RHS+6

2a+10=3a

LHS-2a=RHS-2a

10=a

Rearrange equation

a=10

Therefore, the solution for the given equation is a=10.

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Exercises p.546-549