Question

8x - 4y = -12 solve for y

Answer 1

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.


`8x - 4y = -12`


`4(2x-y)=-12`
`Factor \ out \ the \ common \ term \ 4`


`2x-y=- (12)/(4)`
`Divide \ both \ sides \ by \ 4`


`2x-y=-3`


`-y=-3-2x`
`Subtract \ 2x \ from \ both \ sides`


`y=3+2x`
`Multiply \ both \ sides \ by \ -1`