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29 January, 05:22

Find solution to the system of linear equations. 8x1 + 4x2 = 4, 4x1 + 2x2 = 2

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  1. 29 January, 06:27
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    x1 = - 1 and x2 = 3

    Step-by-step explanation:

    The value of x1 and x2 is gotten by trial and error

    When x1 = - 1 and x2 = 3

    Substitute these values into the first equation

    8x1 + 4x2 = 4

    8 (-1) + 4 (3)

    -8 + 12 = 4

    4 = 4

    Therefore, x1 = - 1 and x2 = 3 satisfy the first linear equation

    Also, substitute x1 = - 1 and x2 = 3 into the second equation

    4x1 + 2x2 = 2

    4 (-1) + 2 (3)

    -4 + 6 = 2

    2 = 2

    x = - 1 and x2 = 3 also satisfy the second linear equation
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