Question

What’s does “solve for x in terms of y” mean?

Answer 1

When you have a function written in explicit form with two variables(let's call them 'x' and 'y'), it is written as a combination of 'x' and 'y' equal to some constant.

`\begin{gathered} F(x,y)=k \\ k\in\mathfrak{\Re } \end{gathered}`

To "solve for x in terms of y", is the same as rewritting this function as an equality in the following form:

`x=f(y)`

Let's try an example to show how this works.

Given the following function:

`y^2+x^{}=2`

Now, solving for x in terms of y, is the same as rewriting x as a function of y.

`x=2-y^2`