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Envision Math 2.0: Grade 6, Volume 1

EM

Envision Math 2.0: Grade 6, Volume 1 View details

5. Write and Solve Equations with Rational Numbers

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Exercise 13 Page 205

Use the Multiplication Property of Equality to isolate y on the right-hand side.

y = 24

Practice makes perfect

To solve the equation, we have to isolate y on one side. Let's use the Multiplication Property of Equality and multiply both sides of the equation by 83. This will eliminate the coefficient and isolate y.

9=3/8y

LHS * 8/3=RHS* 8/3

8/3 * 9 = 8/3 * 3/8y

MoveRightFacToNum

a/c* b = a* b/c

8 * 9/3 = 8/3 * 3/8y

Multiply

72/3 = 8/3 * 3/8y

Calculate quotient

24 = 8/3 * 3/8y

MultFracByInverse

a/b* b/a=1

24 = 1 * y

Identity Property of Multiplication

24 = y

Rearrange equation

y = 24

Subchapter links

Do You Understand? p.205

Do You Know How? p.205

Assessment Practice p.208