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 \( y = 5x - 11 \) to be in terms of \( x \), we can follow these steps:

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

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

Now, let's determine which of the given options matches this equation:

A. \[ x = \frac{y}{11} - 5 \quad (\text{not equivalent}) \]

B. \[ x = \frac{y + 11}{5} \quad (\text{equivalent}) \]

C. \[ x = \frac{y - 11}{5} \quad (\text{not equivalent}) \]

D. \[ x = \frac{y}{5} + 11 \quad (\text{not equivalent}) \]

The equation that is equivalent to \( y = 5x - 11 \) is:

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