Exercise 3 Page 85

Use the Division Property of Equality to eliminate the multiplication.

4 45

Practice makes perfect

To solve the equation, we have to isolate y on one side. By dividing both sides of the equation by 5, we are using the Division Property of Equality to isolate y.

5y=24

DivEqn

.LHS /5.=.RHS /5.

5y/5=24/5

MovePartNumRight

a* b/c=a/c* b

5/5* y=24/5

QuotOne

a/a=1

1 * y=24/5

IdPropMult

Identity Property of Multiplication

y=24/5

Therefore, y= 245 is the solution to the equation. To check that we have the correct solution, we can substitute y= 245 into the original equation and simplify.

5y=24

Substitute

y= 24/5

5* 24/5? =24

DenomMultFracToNumber

5 * a/5= a

24=24 ✓

Since the left-hand side and right-hand side are equal, y= 245 is the correct solution. We can also write our solution as a mixed number.

y=24/5

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Write as a mixed number

Rewrite