Question

Solve for the indicated variable. use / to denote a fraction if needed.

Answer 1

Given the expression:

`-4x+3y=w`

to solve for y, we have to move all the terms and coefficients to the opposite side of the equation. First we move the term 4x to the right side with a positive sign (since it has a negative sign) and the 3 that is multiplying y is going to move to the other side dividing the resulting expression.

We have then:

`\begin{gathered} -4x+3y=w \\ \Rightarrow3y=w+4x \\ \Rightarrow y=(w+4x)/(3) \end{gathered}`

therefore, y= (w+4x)/3