Question

What is the value of X in the equation 1/5x - 2/3y = 30, when y = 15?

Answer 1

x = 200

Explanation:

a) Simplify both sides of the equation.

1/5x - 2/3(15) = 30

1/5x + -10 = 30

1/5x - 10 = 30

b) Add 10 to both sides.

1/5x - 10 + 10 = 30 + 10

1/5x = 40

c) Multiply both sides by 5.

5 * (1/5x) = (5) * (40)

x = 200

Answer 2

This problem can be evaluated in steps.

1. Plug 15 in for y

1/5x - 2/3y = 30

→ 1/5x - 2/3(15) = 30

→ 1/5x - 10 = 30

2. Add 10 to both sides

1/5x - 10 = 30

→ 1/5x = 40

3. Divide both sides by 1/5

1/5x = 40

→ x = 200

4. Plug in 200 for x to see if it’s correct

1/5(200) - 2/3(15) = 30

→ 40 - 10 = 30

Because this equation is true, we have found our answer.

Answer Recap: When y = 15 in this problem, x = 200.