Manipulate the equation y=7x−12 so that it is written in terms of x. Which equation is equivalent to y=7x−12?
A. x=(y/12)−7
B. x=(y−12)/7
C. x=(y+12)/7
D. x=(y/7)+12
To manipulate the equation y=7x−12 so that it is written in terms of x, we need to isolate the x variable on one side of the equation.
Adding 12 to both sides of the equation gives:
y + 12 = 7x
Dividing both sides of the equation by 7 gives:
x = (y + 12)/7
Therefore, the equation that is equivalent to y = 7x−12, written in terms of x, is x = (y + 12)/7.
The correct answer is C. x=(y+12)/7.
To manipulate the equation y=7x−12 so that it is written in terms of x, we need to isolate x on one side of the equation.
Let's solve for x step-by-step:
1. Start with the equation: y = 7x - 12
2. Add 12 to both sides to move the constant term to the other side: y + 12 = 7x
3. Divide both sides by 7 to isolate x: (y + 12)/7 = x
Therefore, the equation equivalent to y = 7x - 12 in terms of x is:
C. x = (y + 12)/7