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
The correct answer is:
D. x = (y/5) + 11
are you sure
Apologies for the incorrect response. You are right, the correct answer is B. x = (y+11)/5.
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.
To do this, we'll start with the given equation:
y = 5x - 11
Now, let's move the term with x to the other side by adding 11 to both sides:
y + 11 = 5x
To express x in terms of y, divide both sides of the equation by 5:
(y + 11)/5 = x
So, the equation that is equivalent to y=5x-11 written in terms of x is:
B. 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 x variable.
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 the x variable:
(y + 11) / 5 = x
Now, let's compare the manipulated equation with the given options:
A. x = (y/11) - 5: This option does not match the manipulated equation. The denominator of 11 is incorrect, and there is a subtraction instead of addition.
B. x = y + 11/5: This option also does not match the manipulated equation. The addition is incorrect, and the denominator 5 is outside the parentheses, affecting the order of operations.
C. y - 11/5: This option does not match the manipulated equation. It only isolates the y variable, not the x variable.
D. x = (y/5) + 11: This option matches the manipulated equation. The y variable is divided by 5, and there is an addition of 11.
Therefore, the correct answer is D. x = (y/5) + 11.