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-11/5D. x=(y/5) +11

1 answer

To manipulate the equation y = 5x - 11 so that it is written in terms of x, we need to isolate x on one side of the equation.

Starting with the original equation:
y = 5x - 11

We can then add 11 to both sides of the equation to get rid of the -11:
y + 11 = 5x

Next, we can divide both sides of the equation by 5 to solve for x:
(x is now being divided by 5)

(x/5) = (y + 11)/5

Therefore, the equivalent equation in terms of x is:

x = (y + 11)/5

The correct answer is D. x = (y/5) + 11.