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 equation y = 5x - 11 can be manipulated to solve for x by adding 11 to both sides:
y + 11 = 5x.
Dividing both sides by 5, the equation becomes:
(x) = (y + 11)/5.
So, the 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. Here's the step-by-step process:
1. Start with the equation: y = 5x - 11
2. Add 11 to both sides of the equation to move the constant term to the right side: y + 11 = 5x
3. Divide both sides of the equation by 5 to solve for x: (y + 11)/5 = x
Therefore, the equation equivalent to y = 5x - 11, written in terms of x, is:
D. 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 y = 5x - 11, we can add 11 to both sides to move the constant term to the other side of the equation:
y + 11 = 5x
Next, we can divide both sides by 5 to solve for x:
(y + 11)/5 = x
So the equation equivalent to y = 5x - 11, written in terms of x, is x = (y + 11)/5.
Looking at the answer choices:
A. X = (y/11) -5
B. X. = y + 11/5
C. Y - 11/5
D. X = ( y/5) + 11
Only option D, X = (y/5) + 11, matches the correct manipulation of the equation.