Algebra 2

Did I solve this word problem correctly?
In last week’s basketball game, the Lions scored 6 less than twice what the Bobcats scored. The sum of their scores is 30. How many points did the Lions and the Bobcats score individually?
2x+2x-6=30
2x+2x=36
4x=36
4x/4=36/4
x=9
Lions= 2x-6
2(9)-6
18-6
The Lions scored 12 points.
Bobcats=2x
2(9)
The Bobcats scored 18 points.

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  1. correct

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    bobpursley
  2. Let the lion's score be X
    Let the Bobcats score be Y.
    Twice the bobcats score be 2Y.
    The lion's score X =2Y-6 .........(1)
    X+Y=30.....(2).
    put equation (1) in equation (2).
    2Y-6+Y =30........(3).
    Collect like terms
    2Y+Y =30+6
    3Y=36
    Divide both sides by 3
    3Y/3=36/3
    Y =12point
    Recall equation (1).
    X=2(12)-6 =24-6=18points .
    The lion's score=18points
    The bobcats score =12 points .

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