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25 September, 11:50

I have problems Understanding systems Variable like this example

4x - 2y + z = 8

-y + z=4

2z = 4

+1
Answers (1)
  1. 25 September, 15:11
    0
    4x - 2y + z = 8

    Step 1: Add 2y to both sides 4x - 2y + z + 2y = 8 + 2y 4x + z = 2y + 8

    Step 2: Add - z to both sides 4x + z + - z = 2y + 8 + - z 4x = 2y - z + 8

    Step 3: Divide both sides by 4 4x 4 = 2y - z + 8 4 x

    = 1/2 y + - 1 / 4 z + 2

    -y + z = 4

    Step 1: Add - z to both sides - y + z + - z = 4 + - z - y = - z + 4

    Step 2: Divide both sides by - 1 - y - 1 = - z + 4 - 1 y

    = z - 4

    2z = 4

    Step 1: Divide both sides by 2 2z / 2 = 4/2

    =z=2
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