Let y = (x-3) / (x+7). Then this equation can be expressed in the form (x+a)(y+b) = c for some constants a, b, and c. Enter your answer in the form a, b, c
Here are the steps on how to express the equation y=x+7x−3 in the form (x+a)(y+b)=c:
Multiply both sides of the equation by x+7.
(x+7)y=x−3
Distribute the x+7 on the left-hand side of the equation.
xy+7y=x−3
Factor out x from the left-hand side of the equation.
x(y+7)=x−3
Subtract x from both sides of the equation.
x(y+7)−x=x−3−x
Simplify the left-hand side of the equation.
xy+7=−3
Rewrite the equation in the form (x+a)(y+b)=c.
(x+0)(y+7)=−3
Therefore, the constants a, b, and c are 0,7,−3.
