Envision Math 2.0: Grade 7, Volume 2
EM
Envision Math 2.0: Grade 7, Volume 2 View details
2. Solve Two-Step Equations
Continue to next subchapter

Exercise 17 Page 264

Use inverse operations in order to isolate the variable.

See solution.

Practice makes perfect

We want to solve the following equation. 2x + 4 15 = 9 When solving an equation, we should use inverse operations in order to isolate the variable. First, let's use the Subtraction Property of Equality and subtract 4 15 from both sides of the equation. That way, we will isolate 2x on the left-hand side of the equation. 2x + 4 15 - 4 15 &= 9 - 4 15 &⇓ 2x &=4 45 Next, let's use the Division Property of Equality and divide both sides of the equation by 2. That way, we will isolate x on the left-hand side of the equation. 2x ÷ 2 &= 4 45÷ 2 &⇓ x &= 4 45 ÷ 2 Finally, let's simplify 4 45 ÷ 2.

4 45 ÷ 2
â–¼
Write mixed number as a fraction
4 * 5 + 4/5 ÷ 2
20 + 4/5 ÷ 2
24/5 ÷ 2
24/10
â–¼
Simplify
24/2/10/2
12/5
â–¼
Write fraction as a mixed number
10+2/5
10/5+2/5
2+2/5
2 25

Therefore, we have the following final result. x &= 2 25