Solving formulas

When solving formulas for a variable we need to focus on the one variable we are trying to solve for, all the others are treated just like numbers. This is shown in the following example. Two parallel problems are shown, the first is a normal one- step equation, the second is a formula that we are solving for `x` Example
`3x = 12``ax=b`In both problems, `x` is multiplied by something
`(3x)/color(red)(3) = 12/color(red)(3)``(ax)/color(red)(a)=b/color(red)(a)`To isolate the `x` we divide by `3` or `a`.
`x = 4``x = b/a ` Solution
We use the same process to solve `3x=12` for `x` as we use to solve` ax=b` for `x`. Because we are solving for `x` we treat all the other variables the same way we would treat numbers. Thus, to get rid of the multiplication we divided by `a`. This same idea is seen in the following example. Example `v=(∆x)/(∆t)` for `∆t`
`v=(∆x)/(∆t)`Solving for ∆t, treat all other variables like numbers
`vcolor(red)((∆t)) = (∆x)/(∆t)color(red)((∆t))`multiply both sides by `∆t`
`v∆t = ∆x`
`(v∆t)/color(red)(v) = (∆x)/color(red)(v)`divide both sides by `∆t`
`∆t = (∆x)/v` solution