Exercise 7 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 7. This will get rid of the coefficient on the left-hand side of the equation.

7x=77

DivEqn

.LHS /7.=.RHS /7.

7x/7=77/7

MovePartNumRight

a* b/c=a/c* b

7/7x=77/7

QuotOne

a/a=1

x=77/7

CalcQuot

Calculate quotient

x=11

To check that this solution is correct, let's substitute x=11 into the original equation and simplify.

7x=77

Substitute

x= 11

7( 11)? =77

Multiply

Multiply

77=77 ✓

Since the left-hand side and the right-hand side are equal, x=11 is the correct solution.