Mathematics, 21.08.2019 16:30 steven122048i

Solve the system of equations. 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9 answer choices:
a. x=116, y=8,z=-21
b. x=82, y=-10, z=9
c. x=-116, y=28,z=37
d. x=6,y=-14,z=1

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5x + 9y + 9z =   5 ⇒ 5x +   9y +   9z =   5
4x + 9y + 6z = 10 ⇒ 4x +   9y +   6z = 10
2x + 2y + 5z =   9    9x + 18y + 15z = 15

5x + 9y + 9z =   5 ⇒ 4x + 9y +   6z = 10
4x + 9y + 6z = 10 ⇒ 2x + 2y +   5z =   9
2x + 2y + 5z =   9    6x + 11y + 11z = 19

9x + 18y + 15z = 15 ⇒ 99x + 198y + 165z = 165
6x + 11y + 11z = 19 ⇒ 90x + 165y + 165z = 285
      9x + 33y = -120

5x + 9y + 9z =   5 ⇒ 5x + 9y + 9z =   5
4x + 9y + 6z = 10 ⇒ 4x + 9y + 6z = 10
2x + 2y + 5z =   9 ⇒ 1x + 0y + 3z = -5

5x + 9y + 9z =   5 ⇒ 4x + 9y + 6z = 10
4x + 9y + 6z = 10 ⇒ 2x + 2y + 5z =   9
2x + 2y + 5z = 9 2x + 7y + 1z =   1

1x + 0y + 3z = -5 ⇒ 1x +   0y + 3z = -5
2x + 7y + 1z = 1 ⇒ 6x + 21y + 3z = 3
      -5x - 21y = -8

9x + 33y = -120 ⇒ 63x + 231y = -840
-5x - 21y =    -8 ⇒ -55x - 231y =   -88
         8x = -928
      8 8
   x = -116
             -5x - 21y = -8
         -5(-116) - 21y = -8
         580 - 21y = -8
         - 580      - 580
   -21y = -588
      -21    -21
          y = 28
      5x + 9y + 9z = 5
      5(-116) + 9(28) + 9z = 5
      -580 + 252 + 9z = 5
      -328 + 9z = 5
      + 328    + 328
   9z = 333
      9    9
   z = 37
   (x, y, z) = (-116, 28, 37)

The answer to the problem is C.

Answer from: Quest

There is no question, there is just the answer.

Answer from: Quest

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation:

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Solve the system of equations. 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9 answer choices:
a. x=116, y=...

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