Exercise 44 Page 85

Isolate y on one side of the equation.

-8/5

Practice makes perfect

To solve the equation, we have to isolate y. Using the Multiplication Property of Equality, we will multiply both sides of the equation by the reciprocal of the coefficient of the variable y. This will eliminate the fraction and isolate y.

5/8y=-1

LHS * 8/5=RHS* 8/5

5/8y * 8/5=-1 * 8/5

Commutative Property of Multiplication

8/5 * 5/8 * y =-1 * 8/5

a/b* b/a=1

1 * y =-1 * 8/5

Identity Property of Multiplication

y =-1 * 8/5

Multiplication Property of -1

y =-8/5

The solution is - 85. Let's test this solution by substituting it into the original equation.

5/8y=-1

y= -8/5

5/8( -8/5)? =-1

a(- b)=- a * b

-5/8 * 8/5? =-1

a/b* b/a=1

-1=-1 ✓

The left-hand side and the right-hand side are equal, so - 85 is the correct solution.

Lesson Check p.85

Practice and Problem-Solving Exercises p.85-87

Standardized Test Prep p.87

Mixed Review p.87

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