Write an equation that expresses the following relationship: x varies directly as p and inversely as the difference between y and c. Then solve the equation for y

X = kp/y-c

cross multiply

xy-xc = kp

factor out the x

x (y-c) = kp

divide entire equation by x

y-c = kp/x

isolate y since we are solving for y

we do this by adding c to both sides which ultimately gives us the answer

y = kp/x + c