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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

Finish the assignment

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Exercise 3 Page 461

Use the Division Property of Equality to eliminate the multiplication.

h = 3

Practice makes perfect

To solve the equation, we have to isolate h on one side. Using the Division Property of Equality, we will divide both sides of the equation by - 3.6. This will eliminate the multiplication and isolate h.

- 3.6h = - 10.8

.LHS /- 3.6.=.RHS /- 3.6.

- 3.6h/- 3.6 = - 10.8/- 3.6

CancelCommonFac

Cancel out common factors

- 3.6h/- 3.6 = - 10.8/- 3.6

Simplify quotient

h = - 10.8/- 3.6

- a/- b=a/b

h = 10.8/3.6

Calculate quotient

h = 3

To check that this solution is correct, let's substitute h = 3 into the original equation and simplify.

- 3.6h = - 10.8

h= 3

- 3.6( 3)? = - 10.8

Multiply

- 10.8 = - 10.8 ✓

Since the left-hand side and right-hand side are equal, h = 3 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