SOLUTION: solve the following algebraically: {{{2/(x-3)+4=2/(x-3)}}} I see that both sides of the equation have a {{{2/(x-3)}}} the only exception is the +4. I'm not sure what I am suppo

Algebra ->  Equations -> SOLUTION: solve the following algebraically: {{{2/(x-3)+4=2/(x-3)}}} I see that both sides of the equation have a {{{2/(x-3)}}} the only exception is the +4. I'm not sure what I am suppo      Log On


   



Question 697090: solve the following algebraically:
2%2F%28x-3%29%2B4=2%2F%28x-3%29
I see that both sides of the equation have a 2%2F%28x-3%29 the only exception is the +4. I'm not sure what I am supposed to do with the four. Should I put a one under it? I don't understand how I am supposed to solve for "x"

Found 2 solutions by ankor@dixie-net.com, MathLover1:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following algebraically:
2%2F%28x-3%29%2B4=2%2F%28x-3%29
Actually there is no solution, but plunging ahead anyway
:
multiply thru by (x-3) and you have
2 + 4(x-3) = 2
Subtract 2 from both side
4(x - 3) = 0
4x - 12 = 0
4x = 12
x = 12/4
x = 3
:
Now you can see if you replace x with 3, in the original equation we have division by 0, hence no solution

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%28x-3%29%2B4=2%2F%28x-3%29...as you can see you have 2%2F%28x-3%29 on both sides; it will be same number for any x except x=3 because x=3 will make denominator x-3 equal to zero and divide by zero doesn't make sense
since you have 4 only on left side, we can tell that 2%2F%28x-3%29%2B4%3C%3E2%2F%28x-3%29, and there is no solution for x that will make it equal