Exercise 12 Page 22

Use the Division Property of Equality to eliminate the coefficient of x.

x=-7

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 by -6. This will eliminate the coefficient and isolate z.

-6x=42

DivEqn

.LHS /(-6).=.RHS /(-6).

-6x/-6=42/-6

DivNegNeg

- a/- b=a/b

6x/6=42/-6

MoveNegDenomToFrac

Put minus sign in front of fraction

6x/6=-42/6

CalcQuot

Calculate quotient

x=-7

To check that this solution is correct, substitute x=-7 into the original equation and simplify.

-6x=42

Substitute

x= -7

-6( -7)? =42

MultNegNegOnePar

- a(- b)=a* b

42=42

Since the left-hand side and right-hand side are equal, x=-7 is the correct solution.

Subchapter links

Check Your Understanding p.22

Practice and Problem Solving p.22-24

H.O.T. Problems p.24

Standardized Test Practice p.25

Spiral Review p.25

Skills Review p.25

Exercise 12 Page 22

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