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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 17 Page 463

Use the Division Property of Equality to eliminate the multiplication.

n = - 3.8

Practice makes perfect

To solve the equation, we have to isolate n on one side. Using the Division Property of Equality, we will divide both sides of the equation by 6. This will eliminate the multiplication and isolate n.

- 22.8 = 6n

.LHS /6.=.RHS /6.

- 22.8/6 = 6n/6

MoveNegNumToFrac

Put minus sign in front of fraction

- 22.8/6 = 6n/6

Calculate quotient

- 3.8 = n

Rearrange equation

n = - 3.8

To check that this solution is correct, let's substitute n = - 3.8 into the original equation and simplify.

- 22.8 = 6n

n= - 3.8

- 22.8 ? = 6( - 3.8)

a(- b)=- a * b

- 22.8 = - 22.8 ✓

Since the left-hand side and right-hand side are equal, n = - 3.8 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