To manipulate the equation \( y = 5x - 11 \) so that it is written in terms of \( x \), we follow these steps:
-
Start with the original equation: \[ y = 5x - 11 \]
-
Add 11 to both sides: \[ y + 11 = 5x \]
-
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. \( x = \frac{y + 11}{5} \).