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
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 gives us: y + 11 = 5x.
Then, dividing both sides by 5, we have: (y + 11)/5 = x.
Therefore, the equation written in terms of x is x = (y + 11)/5.
So, the correct answer is option 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.
Starting with the equation y = 5x - 11, we can begin the manipulation as follows:
y = 5x - 11
Adding 11 to both sides of the equation:
y + 11 = 5x
Then, dividing both sides of the equation by 5:
(y + 11)/5 = x
Therefore, the equation that is equivalent to y = 5x - 11, written in terms of x, is:
x = (y + 11)/5
So 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 the x variable on one side of the equation.
Starting with y=5x-11, let's rearrange it step by step:
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
So, the final equation written in terms of x is x = (y + 11) / 5.
Looking at the given options:
A. x=(y/11) - 5: This option is not equivalent to the original equation.
B. x=(y+11/5): This option is not equivalent because the parentheses are incorrectly positioned.
C. (y-11/5): This is not an equation since it does not contain an equals sign.
D. x=(y/5) + 11: This option is not equivalent to the original equation.
Therefore, the correct choice is x = (y + 11) / 5.