Question

Solve Ax − By = C for x.

Answer 1

Explanation:

Ax − By = C

add BY : Ax − By+BY = C +BY

Ax = C +BY

1) case : A = 0 : 0x = C +BY

*) C +BY = 0 all reals x are solution

**) C +BY≠ 0 no solutions reals

2) case : A ≠ 0 single solution : x = (C +BY)/A

Answer 2

Answer: X = C+BY / A

Explanation:

AX - BY = C

Add BY to bothside

AX - BY + BY = C + BY

AX = C + BY

Divide bothside by A

AX /A = C+BY / A

X = C + BY / A