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14 June, 08:55

Carlos solved the system of equations below. What mistake did he make in his work?

2x + y = 5

x - 2y = 10

y = 5 - 2x

x - 2 (5 - 2x) = 10

x + 10 + 4x = 10

5x + 10 = 10

5x = 0

x = 0

2 (0) + y = 5

y = 5

He should have substituted 5 + 2x

He did not distribute correctly

He combined like terms incorrectly, it should have been 4x instead of 5x

He made no mistake

+3
Answers (1)
  1. 14 June, 09:10
    0
    We try to resolve the equations in our own to answer the question above.

    2x + y = 5

    x - 2y = 10

    y = 5 - 2x

    x - 2 (5 - 2x) = 10

    x - 10 + 4x = 10

    5x - 10 = 10

    5x = 20

    x = 4

    Therefore, the correct answer among the choices is the second option. He did not distribute correctly.
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