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9 June, 10:17

How many solutions does the system of equations have?

6x+y=2

-18x+3y=12

+4
Answers (2)
  1. 9 June, 12:47
    0
    See if they are paralell, if they are, there are no solutions

    thn see if they are the same line, if they are, there is infinite soutions

    so

    6x+1y=2

    -18x+3y=12

    divide 2nd equation by - 3

    6x-y=4

    compare

    6x+y=2 and

    6x-y=4

    they are actually perpenduclar

    mean 1 soltuions

    if yo wantedsoltion

    add

    6x+y=2

    6x-y=4 +

    12x+0y=6

    12x=6

    x=1/2

    6x+y=2

    6 (1/2) + y=2

    3+y=2

    y=-1

    x=1/2

    y=-1

    (1/2,-1)

    1 soluiton
  2. 9 June, 13:25
    0
    There will be one solution. To solve that:

    1. Get the y alone by switching the places.

    6x+y=2 > y=2-6x

    -18x+3y=12 > 3y=12-18x > Then divide 3 on each number > y=4-6x

    After doing that, you can solve this in graphing or algebra way.

    Ima do the algebra way:

    SO we have 2 system of equations. Now pick one equestion.

    I will pick, y=2-6x. Now Ima replace the Y with the other equation y=4-6x >

    4-6x=2-6x.

    Now solve. And get > 0 aka Infinite Solution.
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