Question

If `2x+3y=1`, what is `x/2+y/3` in terms of y?

Answer 1

`(3-5y)/12`

Note that as a fraction question is asked, a fraction answer should be given.

Explanation:

The phrase " in terms of " means "using".

A fraction is given, but it contains both `x and y` variables, we only want `y`.

From the equation which is given, `2x+3y = 1`, we can find an expression for x "in terms of " y.

`2x = 1-3y" "rarr x = (1-3y)/2`

Replace `x` with this fraction in `x/2 +y/3`

`((1-3y)/2) div 2 +y/3`

=`(1-3y)/4 +y/3" "larr` find the LCD

=`(3(1-3y) +4y)/12`

=`(3-9y +4y)/12`

=`(3-5y)/12`