Exercise 9 Page 247

To solve an equation, we isolate x on one side. Using the Division Property of Equality, we will divide both sides of the equation by 13. This will get rid of the coefficient on the right-hand side of the equation.

26=13x

DivEqn

.LHS /13.=.RHS /13.

26/13=13x/13

MovePartNumRight

a* b/c=a/c* b

26/13=13/13x

QuotOne

a/a=1

26/13=x

CalcQuot

Calculate quotient

2=x

RearrangeEqn

Rearrange equation

x=2

To check that this solution is correct, let's substitute x=2 into the original equation and simplify.

26=13x

Substitute

x= 2

26? =13( 2)

Multiply

Multiply

26=26 ✓

Since the left-hand side and the right-hand side are equal, x=2 is the correct solution.