SOLUTION: Solve. x-5/x+4 = 4/7

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve. x-5/x+4 = 4/7      Log On


   

Question 127152: Solve.
x-5/x+4 = 4/7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-5%29%2F%28x%2B4%29=%284%29%2F%287%29 Start with the given expression

%28x-5%29%287%29=%284%29%28x%2B4%29 Cross multiply


7x-35=4x%2B16 Distribute

7x=4x%2B16%2B35Add 35 to both sides


7x-4x=16%2B35 Subtract 4x from both sides


3x=16%2B35 Combine like terms on the left side


3x=51 Combine like terms on the right side


x=%2851%29%2F%283%29 Divide both sides by 3 to isolate x



x=17 Divide

--------------------------------------------------------------
Answer:
So our answer is x=17