How do you solve for x in #xy = x + y#? Algebra Linear Equations Equations with Variables on Both Sides 1 Answer Don't Memorise Apr 7, 2015 #color(red)(xy=x+y# Transposing #x# to the Left Hand Side will give us #xy-x=y # #x*(y-1) = y# (#x# was a common factor on the Left Hand Side) Dividing both sides by #(y-1)#(Assuming #y!=1)#, we get #color(green) (x = y/(y-1)# Answer link Related questions How do you check solutions to equations with variables on both sides? How do you solve #125+20w-20w=43+37w-20w#? How do you solve for x in #3(x-1) = 2 (x+3)#? Is there a way to solve for x without using distribution in #4(x-1) = 2 (x+3)#? How do you solve for t in #2/7(t+2/3)=1/5(t-2/3)#? How do you solve #5n + 34 = −2(1 − 7n)#? How do you simplify first and then solve #−(1 + 7x) − 6(−7 − x) = 36#? Why is the solution to this equation #-15y + 7y + 1 = 3 - 8y#, "no solution"? How do you solve for variable w in the equation #v=lwh#? How do you solve #y-y_1=m(x-x_1)# for m? See all questions in Equations with Variables on Both Sides Impact of this question 14792 views around the world You can reuse this answer Creative Commons License