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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 1 Page 461

Use the Division Property of Equality to eliminate the multiplication.

x = 5

Practice makes perfect

To solve the equation, we have to isolate x on one side. Using the Division Property of Equality, we will divide both sides of the equation by 1.2. This will eliminate the multiplication and isolate x.

1.2x = 6

.LHS /1.2.=.RHS /1.2.

1.2x/1.2 = 6/1.2

CancelCommonFac

Cancel out common factors

1.2x/1.2 = 6/1.2

Simplify quotient

x = 6/1.2

Calculate quotient

x = 5

To check that this solution is correct, let's substitute x = 5 into the original equation and simplify.

1.2x = 6

x= 5

1.2( 5) ? = 6

Multiply

6 = 6 ✓

Since the left-hand side and right-hand side are equal, x = 5 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