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21 February, 04:09

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied? first equation: 4x - 3y = 34 second equation: 3x 2y = 17

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  1. 21 February, 04:32
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    First equation: 4x - 3y = 34

    Second equation: 3x + 2y = 17

    Multiply the first equation by 2 and the second equation by - 3 to eliminate the y terms.

    2 (4x - 3y = 34) ⇒ 8x - 6y = 68

    -3 (3x + 2y = 17) ⇒ - 9x - 6y = - 51

    8x - 6y = 68

    - (-9x - 6y = - 51)

    8x - 6y = 68

    9x + 6y = 51

    17x = 119

    x = 119/17

    x = 7
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