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11 January, 15:25

Solve this system of equations. 6x=-58-11y and - 4x=2-11y

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  1. 11 January, 15:29
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    6x=-58-11y; -4x=2-11y Solution : {x, y} = {-6,-2} System of Linear Equations entered : [1] 6x + 11y = - 58 [2] - 4x + 11y = 2 Graphic Representation of the Equations : 11y + 6x = - 58 11y - 4x = 2 Skip Ad

    Solve by Substitution:

    / / Solve equation [2] for the variable y

    [2] 11y = 4x + 2 [2] y = 4x/11 + 2/11

    / / Plug this in for variable y in equation [1]

    [1] 6x + 11• (4x/11+2/11) = - 58 [1] 10x = - 60

    / / Solve equation [1] for the variable x

    [1] 10x = - 60 [1] x = - 6

    / / By now we know this much:

    x = - 6 y = 4x/11+2/11

    / / Use the x value to solve for y

    y = (4/11) (-6) + 2/11 = - 2 Solution : {x, y} = {-6,-2}
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