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Big Ideas Math: Modeling Real Life, Grade 6
BI
Big Ideas Math: Modeling Real Life, Grade 6 View details
7. Writing and Graphing Inequalities
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Exercise 4 Page 388

Use the Subtraction Property of Equality to eliminate the addition.

x=9

Practice makes perfect

We will solve the equation by isolating x on one side. We can use the Subtraction Property of Equality to subtract 3 from both sides of the equation. This will eliminate the addition and isolate x. Let's do it!

x+3 = 12
SubEqn

LHS-3=RHS-3

x+3 - 3 = 12 - 3

No, see solution.

x=12-3
SubTerms

Subtract terms

x=9

Now we want to check our answer and make sure our solution is correct. Let's substitute x=9 into the original equation and simplify.

x+3 = 12
Substitute

x= 9

9+3? =12
AddTerms

Add terms

12=12 ✓

Since the left-hand side and right-hand side are equal, x=9 is the correct solution.

Extra

 Properties of Equality
There are four main Properties of Equality that we use when solving linear equations.

Properties of Equality
Addition Property of Equality If a=b, then a+c=b+c.
Subtraction Property of Equality If a=b, then a-c=b-c.
Multiplication Property of Equality If a=b, then ac=bc.
Division Property of Equality If a=b and c is not 0, then ac= bc.

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arrow_right Self-Assessment for Concepts & Skills p.386
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arrow_right Self-Assessment for Problem Solving p.387
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