SOLUTION: solve the variable in each equation below. show all you work. provide a check for each answer. if a solution is undefined, state that in your answer. 3x/x-2=6/x-2

Question 208785This question is from textbook algebra 1 an integrated approach
: solve the variable in each equation below. show all you work. provide a check for each answer. if a solution is undefined, state that in your answer.

3x/x-2=6/x-2 This question is from textbook algebra 1 an integrated approach

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
3x/(x-2) = 6/(x-2)
.
at first glance,,,3x=6,,,or x=2
.
However, this results in 6/0=6/0,,,,or undefined
.
Starting over by cross multiplying,
.
3x(x-2) = 6(x-2)
.
3x^2 -6x = 6x -12
.
3x^2 =12
.
x^2 =4
.
x= +/- 2
.
checking x=2,,,,,3(2)/(2-2) = 6/(2-2),,,,or 6/0=6/0,,,undefined
.
checking x=-2,,,,,3(-2)/(-2-2) =6/(-2-2),,,or -6/-4=+6/-4,,,,not true
.
net result, x=2 results in undefined answer,,,while x=-2, is not true
.

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