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Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
2. Solving Equations Using Addition or Subtraction
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Exercise 51 Page 258

Use the Subtraction Property of Equality to eliminate the addition.

m=30

Practice makes perfect

To solve the equation, we have to isolate m on one side. First, let's simplify our equation. m+18+23=71 ⇒ m +41 = 71Now, using the Subtraction Property of Equality, we will subtract 41 from both sides of the equation. This will eliminate the addition and isolate m.

m +41 = 71
SubEqn

LHS-41=RHS-41

m+41-41=71-41
SubTerm

Subtract term

m=30

To check that this solution is correct, let's substitute m=30 into the original equation and simplify.

m + 18+23 = 71
Substitute

m= 30

30 + 18+23 ? = 71
AddTerms

Add terms

71=71 ✓

Since the left-hand side and right-hand side are equal, m=30 is the correct solution.

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