algebra 2

4x+5y=11 2x+6y=16 solve algebraically

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  1. 2 x + 6 y = 16 Multiply both sides by 2

    4 x + 5 y = 11

    -

    4 x + 12 y = 32
    ________________

    4 x - 4 x + 5 y - 12 y = 11 - 32

    - 7 y = - 21 Divide both sides by - 7

    y = - 21 / - 7

    y = 3

    Replace value of y in equation :

    4 x + 12 y = 32

    4 x + 12 * 3 = 32

    4 x + 36 = 32 Subtract 36 to both sides

    4 x + 36 - 36 = 32 - 36

    4 x = - 4 Divide both sides by 4

    x = - 4 / 4

    x = - 1

    The solutions are :

    x = - 1 , y = 3

    You can write this like :

    ( - 1 , 3 )

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