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 с. y-11/5 D. x = (y/5) + 11

Answer 1

To manipulate 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. Now, divide both sides by 5 to solve for \( x \): \[ x = \frac{y + 11}{5} \]

Now, comparing this result with the options provided:

• A. \( x = \frac{y}{11} - 5 \)
• B. \( x = \frac{y + 11}{5} \) (This matches our derived equation.)
• C. \( \frac{y-11}{5} \)
• D. \( x = \frac{y}{5} + 11 \)

The equivalent equation for \( y = 5x - 11 \) is option B: \( x = \frac{y + 11}{5} \).