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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

4. Writing Equations in Two Variables

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Exercise 63 Page 272

Substitute 22 for y and use inverse operations and the Properties of Equality to isolate x.

x=2

Practice makes perfect

We want to fill the blank so that the ordered pair is a solution of the equation. y=9x+4; ( ,22) To do so, we will solve the given equation for x when y=22. Let's start by substituting 22 for y. Then, we can use inverse operations and the Properties of Equality to isolate x. Let's do it!

y=9x+4

y= 22

22=9x+4

LHS-18=RHS-18

22-4=9x+4-4

Subtract terms

18=9x

.LHS /2.=.RHS /2.

18/9=9x/9

Cross out common factors

18/9=9x/9

CancelCommonFac

Cancel out common factors

18/9=x

Calculate quotient

2=x

Rearrange equation

x=2

Now, we can fill the blank. y=9x+4; (2,22)

Subchapter links

Try It p.266-268

Self-Assessment for Concepts & Skills p.268

Self-Assessment for Problem Solving p.269

Review & Refresh p.270

Concepts, Skills, & Problem Solving p.270-272