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17 June, 23:37

A student is solving the system of equations below. In which line is a mistake first made?

2x + y - 2z = 23

3x + 2y + z = 11

x - y + z = - 2

line 1 z = 11 + 3x + 2y

line 2 2x + y - 2 (11 + 3x + 2y) = 23

line 3 - 4x - 3y = 45

line 4 x - y + (11 + 3x + 2y) = - 2

line 5 4x + y = - 13

line 6 - 2y = 32

line 7 y = 16, x = ¾, z = - 11/4

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Answers (1)
  1. 18 June, 00:06
    0
    line 1

    Step-by-step explanation:

    because

    3x + 2y + z = 11 ➡ z = 11 - 3x - 2y

    3x and 2y must change sign when transfer to other sid eof equation
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