Exercise 36 Page 115

You can solve for the variable by using the Cross Products Property.

2.56

Practice makes perfect

To solve the proportion, we will start by using the Cross Products Property. Remember that we will need to treat 3-y as a single quantity in the cross multiplication process.

3-y/4=1/9

CrossMult

Cross multiply

9(3-y) = 4(1)

IdPropMult

Identity Property of Multiplication

9(3-y)=4

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

9(3-y)=4

Distr

Distribute 9

27-9y=4

SubEqn

LHS-27=RHS-27

- 9y=- 23

DivEqn

.LHS /(- 9).=.RHS /(- 9).

- 9y/- 9=- 23/- 9

DivNegNeg

- a/- b=a/b

9y/9=23/9

CalcQuot

Calculate quotient

y=2.555555 ...

RoundDec

Round to 2 decimal place(s)

y≈ 2.56

Subchapter links

Check Your Understanding p.114

Practice and Problem Solving p.115-116

H.O.T. Problems p.116

Standardized Test Practice p.117

Spiral Review p.117

Skills Review p.117

Exercise 36 Page 115

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