SOLUTION: I submitted my question worng, so I'm gonna try it again. Show the steps that you would take to solve ths following algebraically: 4 minus x over x-2 equals -2 over x-2. What pot

Algebra ->  Expressions-with-variables -> SOLUTION: I submitted my question worng, so I'm gonna try it again. Show the steps that you would take to solve ths following algebraically: 4 minus x over x-2 equals -2 over x-2. What pot      Log On


   

Question 321500: I submitted my question worng, so I'm gonna try it again.
Show the steps that you would take to solve ths following algebraically: 4 minus x over x-2 equals -2 over x-2. What potential solution did you obtain? Explain why this is not a solution.
4-__x__ = __-2__
x-2 x-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4-x%2F%28x-2%29=-2%2F%28x-2%29 Start with the given equation.


4%28x-2%29-x=-2 Multiply EVERY term by the LCD x-2 to clear out the fractions.


4x-8-x=-2 Distribute.


3x-8=-2 Combine like terms on the left side.


3x=-2%2B8 Add 8 to both sides.


3x=6 Combine like terms on the right side.


x=%286%29%2F%283%29 Divide both sides by 3 to isolate x.


x=2 Reduce.


So the only possible solution is x=2. However, if you plug it into the original equation, you get a division by zero, which is not allowed. So x%3C%3E2 and that means that there are NO solutions.