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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
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
SubEqn

LHS-4.58=RHS-4.58

4.58 + y - 4.58 = 2.5 - 4.58
CommutativePropAdd

Commutative Property of Addition

y + 4.58 - 4.58 = 2.5 - 4.58
SubTerm

Subtract term

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
Substitute

y= - 2.08

4.58 +( - 2.08) ? = 2.5
AddNeg

a+(- b)=a-b

4.58 - 2.08 ? = 2.5
SubTerm

Subtract term

10.4 = 10.4 ✓

Since the left-hand side and right-hand side are equal, y=- 2.08 is the correct solution.

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arrow_right Try It p.128-129
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Try It 2 (Page 128)
Try It 3 (Page 128)
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arrow_right Self-Assessment for Concept & Skills p.129
Self-Assessment for Concept & Skills 5 (Page 129)
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Self-Assessment for Concept & Skills 7 (Page 129)
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arrow_right Self-Assessment for Problem Solving p.130
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arrow_right Review & Refresh p.131
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