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20 September, 11:59

Have one solution, no solution, or infinitely many solutions

2 (x - 3) = 2x

3 (y - 3) = 2y - 9 + y

10x - 2 - 6x = 3x - 2 + x

4 (x + 3) + 2x = x - 8

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  1. 20 September, 12:14
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    2 (x - 3) = 2x

    Cancel 2 on both sides

    x - 3 = x

    Cancel x on both sides

    -3 = 0

    Since - 3 = 0 is false, there is no solution.

    3 (y - 3) = 2y - 9 + y

    Simplify 2y - 9 + y to 3y - 9

    3 (y - 3) = 3y - 9

    Expand

    3y - 9 = 3y - 9

    Since both sides equal, there are infinitely many solutions.

    10x - 2 - 6x = 3x - 2 + x

    Cancel - 2 on both sides

    10x - 6x = 3x + x

    Simplify 10x - 6x to 4x

    4x = 3x + x

    Simplify 3x + x to 4x

    4x = 4x

    Since both sides equal, there are infinitely many solutions.

    4 (x + 3) + 2x = x - 8

    Expand

    4x + 12 + 2x = x - 8

    Simplify 4x + 12 + 2x to 6x + 12

    6x + 12 = x - 8

    Subtract x from both sides

    6x + 12 - x = - 8

    Simplify 6x + 12 - x to 5x + 12

    5x + 12 = - 8

    Subtract 12 from both sides

    5x = - 8 - 12

    Simplify - 8 - 12 to - 20

    5x = - 20

    Divide both sides by 5

    x = - 20/5

    Simplify 20/5 to 4

    x = - 4

    One solution
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