Hi I was looking through a question however I couldnt comphrenhend the reasoning behind the steps. I was wondering if you could answer why we solve for y and x and also why we switch the x and y values. ( The question for the problem is find the inverse of the function algebraically. )

Thanks alot

b) 3y + 5x = 18 Solve for y. Solve for x. 3y = 18 - 5x 5x = 18 - 3y y = 18-5x 18-3y 3 5 Switch x and y values. Switch x and y values. of ( x) = 18-5y 3 Of (x) = 18-3 5 Win