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/11) -5

B.
x= y+11/5

C. y-11/5

D.
x=( y/5) +11

Answer 1

To manipulate the equation \( y = 5x - 11 \) so that it is written in terms of \( x \), we 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 to solve for \( x \): \[ x = \frac{y + 11}{5} \]

This gives us the equation in terms of \( x \).

Now we can compare this result to the given options:

A. \( x = \frac{y}{11} - 5 \)
B. \( x = \frac{y + 11}{5} \)
C. \( y - \frac{11}{5} \)
D. \( x = \frac{y}{5} + 11 \)

The correct equivalent equation is:

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