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28 July, 18:51

System of equations,

3x - 6y = 2

5x + 4y = 1

+2
Answers (1)
  1. 28 July, 18:59
    0
    3x-6y=2 (label equation 1)

    5x+4y=1 (label equation 2)

    -6y=-3x+2 (rearranged equation 1)

    y=1/2x-1/3 (label equation 3)

    substitute equation 3 into equation 2

    5x+4 (1/2x-1/3) = 1

    5x+2x-4/3=1

    15x+6x-4=3 (multiplied everything by 3)

    21x-4=3

    +4 + 4

    21x=7

    x = 7/21

    x=1/3

    sub x=7/21 into equation 3

    y = 1/2 (1/3) - 1/3

    y = - 1/6

    Therefore x=1/3 and y = - 1/6
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