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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 62 Page 272

Substitute 14 for y and use inverse operations and the Properties of Equality to isolate x.

x=1

Practice makes perfect

We want to fill the blank so that the ordered pair is a solution of the equation. y=12x+2; ( ,14) To do so, we will solve the given equation for x when y=14. Let's start by substituting 14 for y. Then, we can use inverse operations and the Properties of Equality to isolate x. Let's do it!

y=12x+2

y= 14

14=12x+2

LHS-18=RHS-18

14-2=12x+2-2

Subtract terms

12=12x

.LHS /2.=.RHS /2.

12/12=12x/12

Cross out common factors

12/12=12x/12

CancelCommonFac

Cancel out common factors

12/12=x

a/a=1

1=x

Rearrange equation

x=1

Now, we can fill the blank. y=12x+2; (1,14)

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