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
double check your answer and explain
The equation y=5x-11 can be manipulated to solve for x by isolating it on one side of the equation.
First, let's add 11 to both sides of the equation to move the constant term (-11) to the other side:
y + 11 = 5x
Then, we divide both sides of the equation by 5 to solve for x:
(x) = (y + 11)/5
Therefore, the equation equivalent to y=5x-11 in terms of x is:
x = (y + 11)/5
So, option B. x = (y + 11)/5 is the correct 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 given equation: y = 5x - 11
Step 1: Add 11 to both sides of the equation to move the constant term to the right side:
y + 11 = 5x
Step 2: Divide both sides of the equation by 5 to isolate x:
(y + 11) / 5 = x
Therefore, the equivalent equation to y = 5x - 11, written in terms of x, is option B: x = (y + 11) / 5.
To double-check this answer, you can substitute different values for y into the original equation y = 5x - 11 and the manipulated equation x = (y + 11) / 5. You should obtain the same corresponding values of x for each y value chosen, confirming that the equations are equivalent.
To manipulate the equation y=5x-11 so that it is written in terms of x, we need to isolate the term containing x.
Let's go step-by-step:
1. Start with the equation y=5x-11.
2. Add 11 to both sides of the equation to get rid of the -11 on the right side:
y + 11 = 5x - 11 + 11.
Simplifying, we have:
y + 11 = 5x.
3. Divide both sides of the equation by 5:
(y + 11)/5 = (5x)/5.
Simplifying further, we get:
(y + 11)/5 = x.
Therefore, the equivalent equation written in terms of x is:
x = (y + 11)/5.
The answer is option B: x = (y + 11)/5.
This answer has been double-checked and explained step-by-step.