In which quadrant does the solution of the system fall?

NetherCraft 0

x + y = 4

2x – y = 2 (1 point)

1.I

2.II

3.III

4.IV

I need help finding the answer, Please Help!

2 Answers

  • From X + Y = 4

    Y = 4 – X

    Substituite this for Y in 2X – Y = 2 to get

    2X -(4 – X ) = 2

    2X -4 +X = 2

    3X = 6

    X = 2

    Now return to X + Y = 4

    Knowing X = 2,

    2 + Y = 4

    Y = 4 – 2

    Y = 2

    The solution is (X,Y) = (2,2)

    This is quadrant I

    Answer is A

  • Look at the first equation. If x + y = 4, that means x = 4 – y. We can now substitute that in for x in the second equation.

    2x – y = 2

    2*(4-y) – y = 2

    8 – 2y – y = 2

    8 – 3y = 2

    -3y = – 6

    y = 2

    And since we know x + y = 4, x = 2. So the solution is (2,2), which is in quadrant 1.

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