Manipulate the equation y=5x-11 so that it is written in terms of x. Which equation is equivalent to y=5x-11?

Question

A.
x=(y over 11) -5
B.
x = y + 11 over 5
C.
y - 11 over 5
D.
x=(y over 5) +11

Answer 1

To rewrite the equation \( y = 5x - 11 \) in terms of \( x \), we can follow these steps:

1. Start with the original equation: \[ y = 5x - 11 \]

2. Add 11 to both sides: \[ y + 11 = 5x \]

3. Divide both sides by 5: \[ x = \frac{y + 11}{5} \]

Now, let's compare this result with the given options:

A. \( x = \frac{y}{11} - 5 \)

B. \( x = \frac{y + 11}{5} \)

C. \( \frac{y - 11}{5} \)

D. \( x = \frac{y}{5} + 11 \)

The equivalent equation is:

B. \( x = \frac{y + 11}{5} \)