Question

Make x the subject for
3x + y = xr + s

Answer 1

x =
`(s-y)/(3-r)`

Explanation:

3x + y = xr + s

Subtract y from both sides:

3x + y = xr + s

3x + y - y = xr + s - y

3x = xr + s - y

Next, subtract xr from both sides:

3x - xr = xr + s - y - xr

3x - xr = s - y

Then, factor out x from the left-hand side:

x( 3 - r ) = s - y

Finally, divide both sides by (3 - r) to solve for x:

x( 3 - r ) = s - y

`(x (3 - r))/(3 - r) = (s - y)/(3 - r)`

x =
`(s-y)/(3-r)`