The rearranged equation with q as the independent variable is:
r = (5/6)q - (1/3)
To rearrange the equation so q is the independent variable, we need to isolate r on one side of the equation.
Starting with the given equation:
-7q + 12r = 3q - 4
First, combine the q terms on the left side of the equation:
-7q + 12r = 3q - 4
-10q + 12r = -4
Next, add 10q to both sides of the equation to isolate r:
-10q + 12r = -4
12r = 10q - 4
Finally, divide both sides of the equation by 12 to solve for r:
r = (10q - 4) / 12
Therefore, the rearranged equation with q as the independent variable is:
r = (5/6)q - (1/3)