Mathematics, 27.09.2019 22:30 vero5047

Solve the following system of equations?
x + 3y - z = 2
x - 2y + 3z = 7
x + 2y - 5z = -21
a)(2, 3, 5)
, 3, 5)
c)(2, -3, 5)
d)(2, -3, 5)

Answers: 1

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1x + 3y - 1z = 2 ⇒ 1x + 3y - 1z = 2
1x - 2y + 3z = 7 ⇒ 1x - 2y + 3z = 7
1x + 2y - 5z = -21    5y - 4z = -5
   5y - 4z = -5   ⇒ -20y + 16z = 20
1x + 3y - 1z = 2    -4y + 8z = -28 ⇒ -20y - 40z = -140 1x - 2y + 3z = 7    ⇒ 1x - 2y + 3z = 7       -24z = -120
1x + 2y - 5z = -21 ⇒ 1x + 2y - 5z = -21          -24 -24
   -4y + 8z = -28 z = 5
        5y - 4(5) = -5
      5y - 20 = -5
   +20   +20
   5y = 15
      5 5
   y = 3
      x + 3(3) - 5 = 2
      x + 9 - 5 = 2
   x + 4 = 2
      -4 -4
   x = -2
      (x, y, z) = (-2, 3, 5)
The solution to the answer is B. (-2, 3, 5).

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Solve the following system of equations?
x + 3y - z = 2
x - 2y + 3z = 7
x + 2y -...