Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
1. Solving One-Step Equations
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Exercise 66 Page 86

How can you isolate z on one side?

z=14.2

Practice makes perfect

To solve the equation we have to isolate z on one side. By adding 5.3 to both sides, we can cancel out the -5.3 and isolate z.

-5.3+z=8.9
-5.3+z+5.3=8.9+5.3
-5.3+5.3+z=8.9+5.3
z=14.2

Therefore, z=14.2 is the solution to the equation. To check that we have the correct solution, we can substitute z=14.2 into the original equation and simplify.

-5.3+z=8.9
-5.3+ 14.2 ? = 8.9
14.2+(-5.3)? = 8.9
14.2-5.3? = 8.9
8.9=8.9

Since the left-hand side and right-hand side are equal, z=14.2 is the correct solution.