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

User Extrabacon
by
5.8k points

2 Answers

2 votes

Answer:

x = 200

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!

User Adarsh Wase
by
5.5k points
4 votes

Answer:

x = 200

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

User Qortex
by
5.1k points