Mathematics

Question

{2x+5y=26} {3x+4y=26}
{2x+5y=26}    {3x+4y=26}

1 Answer

  • 2x + 5y = 26....multiply by 3
    3x + 4y = 26...multiply by -2
    ------------------
    6x + 15y = 78 (result of multiplying by 3)
    -6x - 8y = - 52 (result of multiplying by -2)
    -----------------add
    7y = 26
    y = 26/7 (or 3 5/7)

    2x + 5y = 26
    2x + 5(26/7) = 26
    2x + 130/7 = 26
    2x = 26 - 130/7
    2x = 182/7 - 130/7
    2x = 52/7
    x = 52/7 * 1/2
    x = 52/14 which reduces to 26/7 (or 1 5/7)

    solution is : (26/7, 26/7)
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