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
D. x=(y/5)+11
To write the equation y = 5x - 11 in terms of x, we need to isolate x on one side of the equation.
Adding 11 to both sides of the equation, we get:
y + 11 = 5x
Now, dividing both sides of the equation by 5 gives:
(y + 11)/5 = x
So, the equation equivalent to y = 5x - 11 in terms of x is:
x = (y + 11)/5
Therefore, the correct choice is A. x = (y/11) - 5.
To manipulate the equation y = 5x - 11 so that it is written in terms of x, we need to isolate the variable x.
First, let's start with the given equation:
y = 5x - 11
Now, let's solve for x by manipulating the equation step by step:
Step 1: Add 11 to both sides of the equation to get rid of the constant term:
y + 11 = 5x
Step 2: Divide both sides of the equation by 5 to isolate x:
(y + 11) / 5 = x
This gives us the equation x = (y + 11) / 5.
Therefore, the correct answer is:
B. x = (y + 11) / 5