Exercise 57 Page 86

Isolate z on the left-hand side.

z= 223

Practice makes perfect

To solve the equation we have to isolate z on one side of the equation. We can accomplish this by multiplying both sides by 8.

z-42/3=22/3

Rewrite 4 as 12/3

z-(12/3 + 2/3 )=22/3

Rewrite 2 as 6/3

z-(12/3 + 2/3 )=6/3+2/3

Add fractions

z-14/3=8/3

LHS+14/3=RHS+14/3

z-14/3 + 14/3=8/3+ 14/3

Add and subtract terms

z=22/3

Therefore, z= 223 is the solution to the equation. We can check our solution by substituting it into the original equation and simplifying.

z-42/3=22/3

z= 22/3

22/3-42/3? =22/3

Rewrite 4 as 12/3

22/3- (12/3 +2/3 )? =22/3

Rewrite 2 as 6/3

22/3- (12/3 +2/3 )? =6/3 +2/3

Add fractions

22/3- 14/3? =8/3

Subtract fractions

8/3=8/3

Since the left-hand side and right-hand side of the equation are equal, z= 223 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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