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25 November, 08:19

Solve the simultaneous equations

3x+y=14

x+2y=3

+4
Answers (2)
  1. 25 November, 09:52
    0
    You can use a bunch of different methods here, but I'll use substitution.

    For the second equation, you can bring the 2y to the right side to isolate the x:

    x=-2y+3

    You can then substitute this into the first equation to find out y:

    3x+y=14

    3 (-2y+3) + y=14

    -6y+9+y=14

    -5y=5

    y=-1

    Now you can plug in y to the second equation to find x:

    x=-2y+3

    x=-2 (-1) + 3

    x=2+3

    x=5

    Therefore:

    x=5

    y=-1
  2. 25 November, 11:21
    0
    I use the substitution method, but you can also use elimination and matrix

    1. Solve for y in 3x+y=14

    y=14-3x

    2. Substitute y=14-3x into x+2y=3

    -5x+28=3

    3. Solve for x in - 5x+28=3

    x=5

    4. Substitute x=5 into y=14-3x

    y=-1

    5. Therefore,

    x=5

    y=-1

    Have a nice day : D
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