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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 10 Page 205

Use the Addition Property of Equality to isolate x on the right-hand side of the equation.

x=13/10

Practice makes perfect

To solve the equation, we have to isolate x on one side. Let's use the Addition Property of Equality and add 35 to both sides of the equation.

7/10 = x-3/5

LHS+ 3/5=RHS+ 3/5

7/10 + 3/5 = x-3/5+ 3/5

▼

Simplify left-hand side

a/b=a * 2/b * 2

7/10 + 3 * 2/5 * 2 = x-3/5+3/5

Multiply

7/10 + 6/10 = x-3/5+3/5

Add fractions

7+6/10 = x-3/5+3/5

Add terms

13/10 = x-3/5+3/5

▼

Simplify right-hand side

CommutativePropAdd

Commutative Property of Addition

13/10 = x+3/5-3/5

Subtract fractions

13/10 = x+3-3/5

Subtract terms

13/10 = x+0/5

0/a=0

13/10 = x+0

Identity Property of Addition

13/10 = x

Rearrange equation

x=13/10

Subchapter links

Do You Understand? p.205

Do You Know How? p.205

Assessment Practice p.208