Question

How do you solve for y in `3x+5y=7`?

Answer 1

`y = 1/5 (7 - 3x )`

Explanation:

To find y place the other terms in the equation to the right

hand side of the equation.

Thus : 5y = 7 - 3x

( now divide both sides by 5 )

`rArr cancel(5) y/cancel(5) = (7 - 3x )/5 = 1/5 (7 - 3x )`

Answer 2

`3x+5y=7`

Subtract `color(blue)(3x)` from both sides.

`implies 3x-color(blue)(3x)+5y=7-color(blue)(3x)`

`implies 5y=7-3x`

Divide both sides by `color(red)5`

`implies (5y)/color(red)5=(7-3x)/color(red)5`

`implies y=7/5-(3x)/5`