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Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
3. Solve Equations with Rational Coefficients
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Exercise 2 Page 461

Use the Division Property of Equality to eliminate the multiplication.

b = - 6

Practice makes perfect
To solve the equation, we have to isolate b on one side. Using the Division Property of Equality, we will divide both sides of the equation by - 2.4. This will eliminate the multiplication and isolate b.
14.4 = - 2.4b
DivEqn

.LHS /- 2.4.=.RHS /- 2.4.

14.4/- 2.4 = - 2.4b/- 2.4
CancelCommonFac

Cancel out common factors

14.4/- 2.4 = - 2.4b/- 2.4
SimpQuot

Simplify quotient

14.4/- 2.4 = b
MoveNegDenomToFrac

Put minus sign in front of fraction

- 14.4/2.4 = b
CalcQuot

Calculate quotient

- 6 = b
RearrangeEqn

Rearrange equation

b = - 6
To check that this solution is correct, let's substitute b = - 6 into the original equation and simplify.
14.4 = - 2.4b
Substitute

b= - 6

14.4 ? =- 2.4( - 6)
MultNegNegOnePar

- a(- b)=a* b

14.4 ? = 2.4(6)
Multiply

Multiply

14.4 = 14.4 âś“
Since the left-hand side and right-hand side are equal, b = - 6 is the correct solution.
Subchapter links expand_more
arrow_right Guided Practice p.460
1
Guided Practice 2 (Page 460)
Guided Practice 3 (Page 460)
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5
6
arrow_right Independent Practice p.461-462
Independent Practice 1 (Page 461)
Independent Practice 2 (Page 461)
Independent Practice 3 (Page 461)
Independent Practice 4 (Page 461)
Independent Practice 5 (Page 461)
Independent Practice 6 (Page 461)
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8
9
10
arrow_right H.O.T. Problems p.462
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arrow_right Standardized Test Practice p.462-464
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23
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arrow_right Extra Practice p.463
Extra Practice 16 (Page 463)
Extra Practice 17 (Page 463)
Extra Practice 19 (Page 463)
Extra Practice 20 (Page 463)
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arrow_right Common Core Review p.464
Common Core Review 26 (Page 464)
Common Core Review 27 (Page 464)
Common Core Review 28 (Page 464)
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