x/9-4=x/6 and x+k=2x : solve for K

Question

x/9-4=x/6 and x+k=2x : solve for K

Answer 1

Hello Leo

 

First we need to get rid of the numbers 9 and 6 from the denominator. The lowest common multiple for 9 and 6 is 18. Multiply both sides of the equation by 18, you get

 

18[(x/9) - 4] = 18(x/6)

 

2x - 72 = 3x

 

x = -72

 

To solve for k

 

x + k = 2x

 

k = x = -72