What is the result of solving this equation for x?

Question

ax + by = c

A. x = c - by/ a

B. x = a (c - by)

C. x = a (c= by)

D. x = c + by/ a

Answer 1

To solve the equation \( ax + by = c \) for \( x \), you can follow these steps:

1. Start with the original equation: \[ ax + by = c \]

2. Subtract \( by \) from both sides: \[ ax = c - by \]

3. Divide both sides by \( a \) (assuming \( a \neq 0 \)): \[ x = \frac{c - by}{a} \]

So, the correct result for \( x \) is: \[ x = \frac{c - by}{a} \]

This matches option A. Therefore, the answer is:

A. \( x = \frac{c - by}{a} \)