Question

How do you solve for y in `-3x+5y=-10`?

Answer 1

`-3x+5y=-10`

As we need to solve for `y`, we transpose `-3x` to the right hand side to get

`5y=-10 + 3x`

We divide both sides by 5

`(cancel(5)y)/cancel(5)=(-10 + 3x)/5`

`y = - 10/ 5 + (3x)/5`

`y = - 2 + (3x)/5`

`color(green)(y = (3x)/5 - 2`