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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=(

) -5

B.
x=


C.


D.
x=(

) +11

1 answer

To manipulate the equation \( y = 5x - 11 \) so that it is written in terms of \( x \), follow these steps:

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

Now to match this with the options you've provided:

  • Transforming \( y + 11 \) as \( (y + 11) \) gives: \[ x = \frac{(y + 11)}{5} \]

From the options you've given, it seems like the equation you are looking for does not fit neatly into any of the provided answer choices as they seem to be incomplete. However, we can format the derived equation correctly:

Thus, the equivalent equation in terms of \( x \) is: \[ x = \frac{(y + 11)}{5} \]

Make sure to verify that this matches one of your options. If none fit precisely, it might require adjustment or rewriting.