Question

Given the equation 1/2x + 1/5y = 1/30, what is the value of 5x + 2y?

A) 1/30
B) 5/30
C) 2/30
D) 3/30

Answer 1

The value of 5x + 2y is 1/3. Not an answer option. Perhaps a typo. Is (1/30) supposed to be (1/300)?

Step-by-step explanation:

1/2x + 1/5y = 1/30

We'll assume this is

(1/2)x + (1/5)y = 1/30 and not (1/2x) + (1/5y) = 1/30

(1/2)x + (1/5)y = 1/30

5x + 2y = 1/3 [Multiply both sides by 10]

The value of 5x + 2y is 1/3.

This is not an answer option, but it is true. Check the answers for a typo.

Answer 2

To find the value of 5x + 2y, we need to solve the given equation for x or y. After solving the equation, we find that the value of 5x + 2y is 1/3.

Step-by-step explanation:

To find the value of 5x + 2y, we need to first solve the given equation for x or y. Let's solve it for x.

1/2x + 1/5y = 1/30

Multiply both sides of the equation by 2 to get rid of the fraction:

x + (2/5)y = 1/15

Now, multiply both sides of the equation by 5 to eliminate the fraction:

5x + 2y = 1/3

Therefore, the value of 5x + 2y is 1/3 (option D).