SOLUTION: find all values of x such that y=0. y=1/5x+5 - 3/x+1 +7/5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find all values of x such that y=0. y=1/5x+5 - 3/x+1 +7/5      Log On


   

Question 210131This question is from textbook College Algebra
: find all values of x such that y=0.
y=1/5x+5 - 3/x+1 +7/5 This question is from textbook College Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
y = 1/5x+5 - 3/x+1 + 7/5
Assume it's
y = 1%2F%285x%2B5%29+-+3%2F%28x%2B1%29+%2B+7%2F5
:
1%2F%285x%2B5%29+-+3%2F%28x%2B1%29+%2B+7%2F5 = 0
:
Factor out 5:
1%2F%285%28x%2B1%29%29+-+3%2F%28x%2B1%29+%2B+7%2F5
:
Common denominator 5(x+1) multiply equation, results:
1 - 5(3) + 7(x+1) = 0
:
1 - 15 + 7x + 7 = 0
:
7x - 7 = 0
:
7x = 7
:
x = 1
;
:
Check in original equation
1%2F%285%281%29%2B5%29+-+3%2F%281%2B1%29+%2B+7%2F5 = 0
1%2F10+-+3%2F2+%2B+7%2F5 = 0
1%2F10+-+15%2F10+%2B+14%2F10 = 0