Question

solve the equation using gauss Jordan method x+2y+6z=443,x+4y+z=526,x-y-z=38
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Answer 1

Given :   x+2y+6z=443, x+4y+z=526, x-y-z=38

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To find :  x , y & z

Solution:

x+2y+6z=443,   Eq1

x+4y+z=526,     Eq2

x-y-z=38        Eq3

Eq2 - Eq1

=> 2y -5z = 83    Eq4

Eq2 - Eq3

=> 5y + 2z = 488    Eq5

2* Eq4  + 5 * eq5

=>  4y + 25y =  166 + 2440

=> 29y = 2606

=> y = 2606/29

2y -5z = 83

=> 5z = 2 (2606/29) - 83

=> 5z =  2805/29

=> z =  561/29

x-y-z=38  

=> x  =  38 + y + z

=> x = 38 + 2606/29 + 561/29

=> x = 4269/29

x =  4269/29  

y = 2606/29

z = 561/29

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