Exercise 9 Page 47

To begin solving this equation, we can distribute the 13 and -2 to each term in the parentheses on the left-hand side. Then we can continue solving by using the Properties of Equality.

1/3(6x+12)-2(x-7)=19

▼

Simplify left-hand side

Distr

Distribute 1/3 & -2

(1/3)6x+(1/3)12+(-2)x-(-2)7=19

MoveRightFacToNumOne

1/b* a = a/b

6x/3+12/3+(-2)x-(-2)7=19

CalcQuot

Calculate quotient

2x+4+(-2)x-(-2)7=19

MultNegPos

(- a)b = - ab

2x+4-2x-(-14)=19

NegNeg

- (- a)=a

2x+4-2x+14=19

AddSubTerms

Add and subtract terms

18≠ 19

The statement 18=19 is never true, so the equation has no solution.