SOLUTION: Solve: x/x-5=-2x/x. If the equation has no solution, choose no solution. a) no real solution b) x=3/10 c) x=10/3

Algebra ->  Rational-functions -> SOLUTION: Solve: x/x-5=-2x/x. If the equation has no solution, choose no solution. a) no real solution b) x=3/10 c) x=10/3      Log On


   



Question 845698: Solve: x/x-5=-2x/x. If the equation has no solution, choose no solution.
a) no real solution
b) x=3/10
c) x=10/3

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x-5%29=-2x%2Fx
cross products gives us
x%2Ax=%28-2x%29%2A%28x-5%29
x%5E2=-2x%5E2%2B10x
add -x%5E2 to each side
0=-3x%5E2%2B10x
add 3x^2 to each side
3x%5E2=10x
divide each side by x
3x=10
divide each side by 3
x=10%2F3