To solve the equation [tex]\(Ax + By = C\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
Ax + By = C
\][/tex]
2. Isolate the term involving [tex]\(x\)[/tex]. To do this, subtract [tex]\(By\)[/tex] from both sides of the equation:
[tex]\[
Ax = C - By
\][/tex]
3. Now, solve for [tex]\(x\)[/tex] by dividing both sides of the equation by [tex]\(A\)[/tex], assuming [tex]\(A \neq 0\)[/tex]:
[tex]\[
x = \frac{C - By}{A}
\][/tex]
Therefore, the solution for [tex]\(x\)[/tex] is:
[tex]\[
x = \frac{C - By}{A}
\][/tex]
Among the given options:
[tex]\[
x = \frac{-By + C}{A}
\][/tex]
[tex]\[
x = \frac{By + C}{A}
\][/tex]
[tex]\[
x = \frac{By - C}{A}
\][/tex]
[tex]\[
x = \frac{-By - C}{A}
\][/tex]
The correct option is:
[tex]\[
x = \frac{-By + C}{A}
\][/tex]
