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. x = y-11/5
D. x = (y/5) + 11
To manipulate the equation y = 5x - 11 to solve for x, we need to isolate the x term on one side of the equation.
Starting with y = 5x - 11:
Add 11 to both sides of the equation to get rid of the -11: y + 11 = 5x.
Dividing both sides of the equation by 5: (y + 11)/5 = x.
Therefore, the equivalent equation for y = 5x - 11 in terms of x is x = (y + 11)/5.
The correct answer is:
B. x = (y + 11)/5
To manipulate the equation y = 5x - 11 into a form that is written in terms of x, you need to isolate the variable x.
Starting with the given equation:
y = 5x - 11
First, add 11 to both sides of the equation to get rid of the -11 on the right side:
y + 11 = 5x
Next, divide both sides of the equation by 5 to solve for x:
x = (y + 11)/5
Therefore, the equation equivalent to y = 5x - 11, written in terms of x, is:
x = (y + 11)/5
Hence, the correct answer 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 x on one side of the equation.
Starting with the equation y = 5x - 11, we can rearrange it in the following steps:
1. Add 11 to both sides of the equation to get rid of the constant term -11:
y + 11 = 5x
2. Divide both sides of the equation by 5 to isolate x:
(y + 11) / 5 = x
Now, looking at the given options, let's identify which equation is equivalent to x = (y + 11) / 5.
A. x = (y/11) - 5: This option is not equivalent to the manipulated equation.
B. x = y + 11/5: This option is not equivalent to the manipulated equation as 11/5 is not the same as (y + 11)/5.
C. x = y - 11/5: This option is not equivalent to the manipulated equation as -11/5 is not the same as (y + 11)/5.
D. x = (y/5) + 11: This option is equivalent to the manipulated equation (y + 11) / 5.
Therefore, the correct answer is option D.