For this case we have the following expression:
[tex]ax - by = f
[/tex]
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:
[tex]ax - by + by = f + by
ax = f + by[/tex]
2) multiply both sides by 1 / a:
[tex](1 / a) * ax = (1 / a) f + (1 / a) by
x = (1 / a) f + (1 / a) by[/tex]
3) Common factor 1 / a:
[tex]x = (1 / a) * (f + by)[/tex]
Answer:
[tex]x = (1 / a) * (f + by)[/tex]
