Question

Solve the equation for y in terms of x. In other words, algebraically rearrange the equation so that the y variable is by itself one side of the equation. Type your answer in the form y=mx+b. If you have a value that is not an integer then type it rounded to the nearest hundredth. Do not put spaces between your characters.4x+2y=8y=Answer

Answer 1

The equation is given as,

`4x+2y=8`

Subtracting a positive term on both sides will not affect the equality, so we subtract '4x' both sides,

`\begin{gathered} 4x+2y-4x=8-4x \\ 2y+0=8-4x \\ 2y=8-4x \end{gathered}`

Dividing both sides by a positive term will not affect the equality, so we divide both sides by '2' as,

`\begin{gathered} 2y\cdot(1)/(2)=(8-4x)\cdot(1)/(2) \\ y=(8)/(2)-(4x)/(2) \\ y=4-2x \\ y=-2x+4 \end{gathered}`

Thus, the required expression is,

`y=-2x+4`