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,

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

Thus, the required expression is,

$y=-2x+4$