Question

Multiple Choice Question
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

C. y-11/5

D.
x=(y/5) +11

Answer 1

To manipulate the equation \( y = 5x - 11 \) in terms of \( x \), you need to isolate \( x \) on one side of the equation. Here is how you can do this step-by-step:

1. Start with the original equation:
\[
y = 5x - 11
\]

2. Add 11 to both sides to isolate the term with \( x \):
\[
y + 11 = 5x
\]

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

Now, let's rewrite this final equation:
\[
x = \frac{y}{5} + \frac{11}{5}
\]

None of the answer choices match this exactly, so let's check the answer choices for correctness and clarity:

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

B. \( x = \frac{y + 11}{5} \) (correct based on our final equation derivation)

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

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

Therefore, the correct answer is:

**B. x = (y + 11) / 5**