Ask a New Question
Menu

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

A. x=(y/11​)−5
B. x= y+11​/ 5
C. y−11​/5
D. x=(y/5​)+11

1 answer

To rewrite the equation \( y = 5x - 11 \) in terms of \( x \), we need to isolate \( x \) on one side.

Here are the steps:

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

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

  3. Divide both sides by 5 to solve for \( x \): \[ x = \frac{y + 11}{5} \]

Now, we can compare this result with the options provided:

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

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

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

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

The equation we derived \( x = \frac{y + 11}{5} \) corresponds to option B.

Thus, the correct answer is:

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