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Hunter-Best [27]
4 years ago
5

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.

Mathematics
1 answer:
son4ous [18]4 years ago
4 0
Using Gaussian elimination:
x + y + z = 9  / * ( - 2 )    / ( - 1 ) ( we will multiply by - 2 and add to the 2nd         2 x - 3 y + 4 z = 7      equation and multiply by - 1 and add to the 3rd equation ) 
x - 4 y + 3 z = - 2
-----------------------------
x + y + z = 9
    - 5 y + 2 z = - 11  / * ( - 1 )
    - 5 y + 2 z = - 11
---------------------------
x + y + z = 9
   - 5 y + 2 z = - 11
              0 z = 0
There are infinitely many solutions to the system of equations.
z = t,
- 5 y + 2 t = - 11
5 y = 11 + 2 t
y = ( 11 + 2 t ) / 2
x + ( 11 + 2 t ) / 2  + t = 9    / * 2
2 x + 11 + 2 t + 2 t = 18
2 x = 18 - 11 - 4 t
x = ( 7 - 4 t ) / 2
( x, y , z ) = (   (7 - 4 t ) / 2,   ( 11 + 2 t ) / 2,    t  )
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Answer:

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Step-by-step explanation:

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3 years ago
Solve for x. 2/3x−5=21 x = 39 x=52/3 x = 24 x=32/3
Finger [1]

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3 years ago
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How many meters are there in 33 km?
s2008m [1.1K]
1000 meters make 1km. So let's compare that with the question.
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8 0
3 years ago
gary mixes a solution using two types of concentration of sale: .70 gallons of 5% and .30 gallons of 22% salt. what is the conce
wolverine [178]

Answer:

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Step-by-step explanation:

The first thing we should do is calculate the total volume of the solution when mixing them would be:

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Now, we have that the resulting concentration (x) would be equal to the sum of the multiplications between the volumes and the concentrations to be mixed, as follows:

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x = 0.035 + 0.066

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3 years ago
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egoroff_w [7]

Answer:

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