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

1 answer

To manipulate the equation \( y = 5x - 11 \) and solve for \( x \), follow these steps:

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

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

Now, we can look at the options provided:

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

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

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

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

The equation we derived \( x = \frac{y + 11}{5} \) matches option B. Therefore, the equivalent equation to \( y = 5x - 11 \) is:

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