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22 January, 10:40

Use the linear combination method to solve this system of equations. What is the value of x? 3x+7y=31 and - 3x-2y=-1

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  1. 22 January, 10:56
    0
    Solve the following system:

    {3 x + 7 y = 31 | (equation 1)

    -3 x - 2 y = - 1 | (equation 2)

    Add equation 1 to equation 2:

    {3 x + 7 y = 31 | (equation 1)

    0 x+5 y = 30 | (equation 2)

    Divide equation 2 by 5:

    {3 x + 7 y = 31 | (equation 1)

    0 x+y = 6 | (equation 2)

    Subtract 7 * (equation 2) from equation 1:

    {3 x+0 y = - 11 | (equation 1)

    0 x+y = 6 | (equation 2)

    Divide equation 1 by 3:

    {x+0 y = (-11) / 3 | (equation 1)

    0 x+y = 6 | (equation 2)

    Collect results:

    Answer: x = - 11/3, y = 6
  2. 22 January, 12:14
    0
    in this one, is about the same as the previous one, if you set them both at y = mx+b, slope-intercept form, you'll notice the slopes are the same, whilst the y-intercepts differ.

    so both lines are parallel, and never meet.
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