(08.01 LC) Two lines, A and B, are represented by the equations given below: Line A: x + y = 2 Line B: 2x + y = 4 Wh

Question

(08.01 LC)
Two lines, A and B, are represented by the equations given below:
Line A: x + y = 2
Line B: 2x + y = 4
Which statement is true about the solution to the set of equations? (5 points)
1) There are infinitely many solutions.
2) There are two solutions.
3) There is one solution.
4) There is no solution.

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Sapo 5 months 2021-09-04T23:54:26+00:00 2 Answers 3 views 0

Answers ( )

  1. phucdien
    0
    2021-09-04T23:56:01+00:00
    Reply

    Answer:

    (2, 0)

    There is one solution

    Step-by-step explanation:

    Given the set of equations

    x+y = 2

    2x+y = 4

    Substract both equations

    x – 2x = 2 – 4

    -x = -2

    Multiply thrugh by -1

    -1(-x) = -1(-2)

    x = 2

    Substitute x = 2 into equation1 ;

    From 1, x+y = 2

    2 + y = 2

    y = 2-2

    y = 0

    hence the solution to the system of equation is (2, 0). Hence there is only one solution

  2. kiet
    0
    2021-09-04T23:56:22+00:00
    Reply

    Answer:

    There is one solution.

    Step-by-step explanation:

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )