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

Answers: 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

29 mil

step-by-step explanation:

Answer from: Quest

none.

step-by-step explanation:

m1=5

−

b=-1

find the slope and y-intercept of the second equation.

tap for more

m2=0

−

b=-6

compare the slopes

m of the two equations.

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m1=5,m2=0

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