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24 February, 18:03

Two lines, A and B, are represented by the following equations:

Line A: 2x + 2y = 8

Line B: x + y = 3

Which statement is true about the solution to the set of equations?

It is (1, 2).

There are infinitely many solutions.

It is (2, 2).

There is no solution.

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Answers (1)
  1. 24 February, 18:09
    0
    Line A: 2x+2y=8 ⇒2y=-2x+8 ⇒ y=-x+4

    Line B: x+y=3 ⇒y=-x+3

    Therefore: y=y then:

    -x+4=-x+3

    -x+x=3-4

    0≠-1 ⇒There is no solution because the lines are parallels

    Answer: There is no solution
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