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8 August, 02:53

Solve this system of linear equations. Separate

the x - and y-values with a comma.

4x + 13y = - 43

2x-3y=7

+1
Answers (1)
  1. 8 August, 06:37
    0
    x = 2.47, y = - 0.68

    Step-by-step explanation:

    let

    4x + 13y = - 43 ... equation 1

    2x - 3y = 7 ... equation 2

    using substitution method

    from equation 2

    2x - 3y = 7

    2x = 7 + 3y

    divide both sides by 2

    2x/2 = 7 + 3y/2

    x = 7 + 3y / 2 ... equation 3

    put x = x = 7 + 3y / 2 in equation 1

    4x + 13y = - 43

    4 (7 + 3y/2) + 13y = - 43

    2 (7 + 3y) + 13y = - 43

    12 + 6y + 13y = - 43

    19y = - 43 + 12

    19y = - 31

    y = - 31/19 or - 0.68

    put y = - 0.684 in equation 3

    x = 7 + 3y / 2

    x = 7 + 3 (-0.684) / 2

    x = 7 - 2.05 / 2

    x = 4.947/2

    x = 2.47
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