Math
posted by Gwen
Decide whether each equation has one solution, no solution, or infinitely many solutions.
2(x3)=2x
A. One Solution
B. No solutions
C. Infinitely many solutions
Is the answer A?

Mia
Can you show me how you came up with that answer? I like to see a person's though process. It helps me to assist you better.

Gwen
Well I did 2*x and 2*3=6
2x6=2x
2*46=2
2*4=8
So wouldn't that be one solution.
If that's not how to solve can you help me figure out how to do it? 
Mia
Okay you first step is first when you multiply it you will get
2x6=2x
After this you are trying to get x by itself. What would you do? 
Gwen
Um I don't know how to do that if you could please help me to figure it out.

Gwen
2x6=2x
22=0
62=4
x=4
Would that be one solution. 
Mia
2x6=2x
Subtract 2x from both sides in order to get your x variables on 1 side
2x6=2x
2x 2x
What you do to one side you must also do to the other. This leaves you with
6=0x
Because it says 0x there is no solution
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