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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 50 Page 258

Use the Subtraction Property of Equality to eliminate the addition.

y=15

Practice makes perfect

To solve the equation, we have to isolate y on one side. First, let's simplify our equation. y+4-1=18 ⇒ y+3=18Now, using the Subtraction Property of Equality, we will subtract 3 from both sides of the equation. This will eliminate the addition and isolate y.

y+3 = 18

LHS-3=RHS-3

y+3 -3= 18-3

Subtract term

y=15

To check that this solution is correct, let's substitute y=15 into the original equation and simplify.

y+4-1=18

y= 15

15 + 4 - 1 ? = 18

Add and subtract terms

18=18 ✓

Since the left-hand side and right-hand side are equal, y=15 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