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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

2. Solving Equations Using Addition or Subtraction

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Exercise 9 Page 254

Use the Subtraction Property of Equality to eliminate the addition.

y=3

Practice makes perfect

To solve the equation, we have to isolate y on one side. Using the Subtraction Property of Equality, we will subtract 6 from both sides of the equation. This will eliminate the addition and isolate y.

9 = y + 6

LHS-6=RHS-6

9-6=y+6-6

Subtract term

3 = y

Rearrange equation

y=3

To check that this solution is correct, let's substitute y=3 into the original equation and simplify.

9 = y + 6

y= 3

9 ? = 3 + 6

Add terms

9 = 9 ✓

Since the left-hand side and right-hand side are equal, y=3 is the correct solution.

Subchapter links

Try It p.252-254

Self-Assessment for Concepts & Skills p.254

Self-Assessment for Problem Solving p.255

Review & Refresh p.256

Concepts, Skills, & Problem Solving p.256-258