Exercise 3 Page 460

Multiply both sides of the equation by the reciprocal of 518.

h = 9/5

Practice makes perfect

To solve an equation, we should isolate the variable term. In this case, we will use the Multiplication Property of Equality and multiply both sides of the equation by the reciprocal of 518.

- 1/2 = - 5/18h

MultEqn

LHS * - 1=RHS* - 1

- 1/2 * (- 1) = - 5/18h* (- 1)

MultNegNegOnePar

- a(- b)=a* b

1/2 = 5/18h

MultEqn

LHS * 18/5=RHS* 18/5

1/2 * 18/5 = 5/18h * 18/5

CommutativePropMult

Commutative Property of Multiplication

1/2 * 18/5 = 5/18 * 18/5* h

MultFracByInverse

a/b* b/a=1

1/2 * 18/5 = h

MultFrac

Multiply fractions

18/10 = h

ReduceFrac

a/b=.a /2./.b /2.

9/5 = h

RearrangeEqn

Rearrange equation

h = 9/5

The solution to the equation is h = 95. We can check our solution by substituting it into the original equation.

- 1/2 = - 5/18h

Substitute

h= 9/5

- 1/2 ? =- 5/18 * 9/5

MultFrac

Multiply fractions

- 1/2 ? =- 5* 9/18* 5

SplitIntoFactors

Split into factors

- 1/2 ? =- 5* 9/9* 2* 5

CancelCommonFac

Cancel out common factors

- 1/2 ? =- 5* 9/9* 2* 5

SimpQuot

Simplify quotient

- 1/2 = - 1/2 ✓

Since the left-hand side is equal to the right-hand side, our solution is correct.

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