Question

rewrite the formula $y = ax - b$ for $x$ in terms of $y$
a. $x = \frac{y}{a} + b$
b. $x = \frac{a + b}{y}$
c. $x = y + \frac{b}{a}$
d. $x = \frac{y + b}{a}$

Explanation:

Step1: Isolate the term with x

Start with the equation \( y = ax - b \). Add \( b \) to both sides to get \( y + b = ax \). This step is done to move the constant term \(-b\) to the left side, leaving the term with \( x \) (which is \( ax \)) on the right. So, \( y + b = ax \).

Step2: Solve for x

Now, divide both sides of the equation \( y + b = ax \) by \( a \) (assuming \( a
eq 0 \)) to isolate \( x \). Dividing both sides by \( a \) gives \( x=\frac{y + b}{a} \).

Answer:

D. \( x=\frac{y + b}{a} \)