Question

Solve the equation for y in terms of x. In other words, algebraicallyrearrange the equation so that the y variable is by itself one side of theequation. Type your answer in the form y = mx + b. If you have a valuethat is not an integer then type it rounded to the nearest hundredth. Donot put spaces between your characters.4.2 + 2y = 8y = ?4x+2y=8

Answer 1

Given:

`4x+2y=8`

Solve the equation for y,

`\begin{gathered} 4x+2y=8 \\ Subtract\text{ -4 from both sides} \\ 4x+2y-4x=8-4x \\ 2y=8-4x \\ \text{Divide by 2 on both side} \\ (2y)/(2)=(8-4x)/(2) \\ y=(8)/(2)-(4x)/(2) \\ y=4-2x \\ \text{ express the equation in the form y=mx+b} \\ y=-2x+4 \end{gathered}`

Answer: y = -2x +4