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

Algebra ->  Algebra  -> Problems-with-consecutive-odd-even-integers -> 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      Log On

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 Click here to see ALL problems on Problems-with-consecutive-odd-even-integers 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-2This 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 .