Questions: Solve for (x) in terms of (a, b), and (c: ax-3b=c) 1. (a(c+3b)) 2. (a(c-3b)) 3. ((c-3b)/a) 4. ((c+3b)/a)

Solution Steps

To solve for \( x \) in terms of \( a \), \( b \), and \( c \) in the equation \( a x - 3b = c \), we need to isolate \( x \). This can be done by first adding \( 3b \) to both sides of the equation and then dividing both sides by \( a \).

Start with the given equation: \[ a x - 3b = c \]

To isolate \( x \), add \( 3b \) to both sides: \[ a x = c + 3b \]

Divide both sides by \( a \) to solve for \( x \): \[ x = \frac{c + 3b}{a} \]

Final Answer