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17 March, 17:48

1/2x+1/3y=7,1/4x+2/3y=6

What is the solution of the system shown?

A. (1/6,14)

B. (6/12)

C. (10 2/3,5)

+5
Answers (2)
  1. 17 March, 18:03
    0
    A is the answer (1/16,14)
  2. 17 March, 18:14
    0
    We can see that 1/3 times 2=2/3

    we can cancel the y terms

    multily first equation by - 2 and add to 2nd

    -x-2/3y=-14

    1/4x+2/3y=6 +

    -3/4x+0y=-8

    -3/4x=-8

    times both sides by - 4

    3x=32

    divide both sides by 3

    x=32/3

    sub back

    1/2x+1/3y=7

    1/2 (32/3) + 1/3y=7

    16/3+1/3y=7

    times 3 both sides

    16+y=21

    minus 16 both sides

    y=5

    (32/3,5)

    (10 and 2/3,50

    C is answer

    an easier way would be to get rid of the fractions by multiplying the first equation by 6 and 2nd one by 12 but oh well

    C is the answer
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