Big Ideas Math: Modeling Real Life, Grade 7
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1. Solving Equations Using Addition or Subtraction
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Exercise 23 Page 131

Use the Subtraction Property of Equality to eliminate the addition.

y=- 2.08

Practice makes perfect
To solve the equation, we have to isolate y on one side. Using the Subtraction Property of Equality, we will subtract 4.58 from both sides of the equation. This will eliminate the addition and isolate y.
4.58 + y = 2.5
4.58 + y - 4.58 = 2.5 - 4.58
y + 4.58 - 4.58 = 2.5 - 4.58
y = - 2.08
To check that this solution is correct, let's substitute y=- 2.08 into the original equation and simplify.
4.58 + y = 2.5
4.58 +( - 2.08) ? = 2.5
4.58 - 2.08 ? = 2.5
10.4 = 10.4 âś“
Since the left-hand side and right-hand side are equal, y=- 2.08 is the correct solution.