Question

Solve ax - by = f for x

Answer 1

For this case we have the following expression:

`ax - by = f`
We must clear the value of x in the expression.
For this, we must follow the following steps:
1) add by on both sides of the equation:

`ax - by + by = f + by ax = f + by`
2) multiply both sides by 1 / a:

`(1 / a) * ax = (1 / a) f + (1 / a) by x = (1 / a) f + (1 / a) by`
3) Common factor 1 / a:

`x = (1 / a) * (f + by)`
Answer:

`x = (1 / a) * (f + by)`