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20 July, 14:19

Solve each system by substitution.

8). - 7x-2y=-13

x-2y=11

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Answers (1)
  1. 20 July, 14:38
    0
    -7x-2y=-13

    x-2y = 11 get x alone

    x-2y+2y=11+2y

    x = 2y+11 substitute into 1st equation

    -7 (2y+11) - 2y = -13

    -14y - 77 - 2y = - 13

    -16y - 77 = - 13

    -16y - 77 + 77 = - 13 + 77

    -16y = 64

    -16y/-16 = 64/-16

    y = - 4

    substitute in the 2nd equation

    x = 2y + 11

    x = 2 (-4) + 11

    x = - 3 + 11

    x = 3

    Check work

    -7 (3) - 2 (-4) = - 13

    -21 + 8 = - 13

    -13 = - 13

    3 - 2 (-4) = 11

    3 + 8 = 11

    11 = 11
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