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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

3. Solve Equations with Rational Coefficients

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Exercise 16 Page 463

Use the Division Property of Equality to eliminate the multiplication.

w = 4.9

Practice makes perfect

To solve the equation, we have to isolate w on one side. Using the Division Property of Equality, we will divide both sides of the equation by - 5. This will eliminate the multiplication and isolate w.

- 5w = - 24.5

.LHS /- 5.=.RHS /- 5.

- 5w/- 5 = - 24.5/- 5

CancelCommonFac

Cancel out common factors

- 5w/- 5 = - 24.5/- 5

Simplify quotient

w = - 24.5/- 5

- a/- b=a/b

w = 24.5/5

Calculate quotient

w = 4.9

To check that this solution is correct, let's substitute w = 4.9 into the original equation and simplify.

- 5w = - 24.5

w= 4.9

- 5( 4.9)? =- 24.5

Multiply

- 24.5 = - 24.5 ✓

Since the left-hand side and right-hand side are equal, w = 4.9 is the correct solution.

Subchapter links

Guided Practice p.460

Independent Practice p.461-462

H.O.T. Problems p.462

Standardized Test Practice p.462-464

Extra Practice p.463

Common Core Review p.464