Question

Solve x/2 + y/3 = 1 for x

Answer 1

Explanation:

Answer 2

First, you have to make both fractions the same denorminators :

`(x)/(2) + (y)/(3) = 1`

`(x * 3)/(2 * 3) + (y * 2)/(3 * 2) = 1`

`(3x)/(6) + (2y)/(6) = 1`

Next, you have make them into 1 fraction :

`(3x + 2y)/(6) = 1`

Then, you have to multiply both sides by 6, in order to get rid fraction :

`(3x + 2y)/(6) * 6 = 1 * 6`

`3x + 2y = 6`

Lastly, you have to move all the unrelated terms to the other side :

`3x + 2y = 6`

`3x = 6 - 2y`

`x = (6)/(3) - (2)/(3) y`

`x = 2 - (2)/(3) y`

Therefore, the value of x is :

`x = 2 - (2)/(3) y`