Question

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

Answer 1

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y

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

multiply

1/5x - 10 = 30

isolate the variable

1/5x = 40

multiply each side by 5

x = 200

Answer 2

Answer:

x = 200

Step-by-step explanation:

Just substitute 15 in for y and solve for x.

1/5x - 2/3y = 30; y = 15

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

1/5x - 10 = 30

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

1/5x = 40

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

x = 200

To check this answer, just substitute the 15 in for y and 200 in for x and simplify. If the left side of the equation comes out to equal 30, the answer is correct.

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

40 - 10 = 30

30 = 30

This check proves that the answer is correct.

The value of x is 200.

Hope this helps!