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LiRa [457]
3 years ago
6

Solve the following system of equations for all three variables.

Mathematics
1 answer:
nignag [31]3 years ago
6 0
  5x - 2y + 1z = 8 ⇒   5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x -  2y -  5z = 4             -4x + 3z = 13

 5x -  2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z -  2y -  5z = 4 ⇒ -9x -  2y -  5z = 4
                                        -18x - 3z = 9

     -4x + 3z = 13
    -18x - 3z =   9
           -22x = 22
            -22    -22
                x = -1
    -18x - 3z = 9
-18(-1) - 3z = 9
       18 - 3z = 9
     - 18       - 18
             -3z = -9
              -3     -3
                z = 3

    5x - 2y + z = 8
5(-1) - 2y + 3 = 8
     -5 - 2y + 3 = 8
     -2y - 5 + 3 = 8
           -2y - 2 = 8
                + 2 + 2
                -2y = 10
                 -2     -2
                   y = -5
          (x, y, z) = (-1, -5, 3)
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Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at 9:35 a.m.
iris [78.8K]

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

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Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

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Therefore, for Kana:

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Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

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Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

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d = 7 * 3.36 = 23.52 miles

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3 years ago
BRAINLIEST !! Evaluate the following fractions giving your awnser in its simplest form.
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