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Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solving a system of equations. Explain how you solved the system.

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  1. Today, 02:21
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    2x+2y=310

    x-y=55

    multiply seond equation by 2 and adding to first equation

    2x-2y=110

    add

    2x-2y=110

    2x+2y=310 +

    4x+0y=420

    4x=420

    divide 4

    x=105

    sub

    x-y=55

    105-y=55

    minuse 105

    -y=-50

    mult - 1

    y=50

    the numbers are 105 and 50
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