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10 February, 04:26

Solve the following system of equations.

x + 2y - 6 = z

3y - 2z = 7

4 + 3x = 2y - 5z

+1
Answers (1)
  1. 10 February, 06:18
    0
    X = 7/4

    y = 3/2

    z = - 5/4

    Step 1: Multiply first equation by

    -3 and add the result to the third equation. The result is:

    x + 2 y + 3 y - 8 y - z - 2 z + 8 z = 6 = 7 = - 22

    Step 2: Multiply second equation by 4 and add the result to the third equation. The result is:

    x + 2 y + 3 y + 4 y - z - 2 z = 6 = 7 = 6

    Step 3: solve for y.

    4 y y = 6 = 32

    Step 4: solve for z.

    3z-2z 3⋅ 32 - 2z z = 7 = 7 = - 54

    Step 5: solve for x by substituting y = 32 and z = - 54 into the first equation.
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