Question

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

Answer 1

Answer:

x = $\frac{s-y}{3-r}$

Step-by-step 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

$\frac{x (3 - r)}{3 - r} = \frac{s - y}{3 - r}$

x = $\frac{s-y}{3-r}$