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On line solution of multivariate equations：
    First set the elements of the equation (i.e. the number of unknowns), then click the "Next" button to enter the coefficients of each element of the equation set, and click the "Next" button to obtain the solution of the equation set.
    Note that the coefficients of each element of the equation system can only be numbers, not algebraic expressions (including mathematical functions).
    Current location：Equations > Multivariate equations > Answer
detailed information：
The input equation set is:
 
1
5
x + 
1
5
y - 
97
100
z = -1634    (1)
 
97
100
x + 
97
100
y - 
97
100
z = 
19709
10
    (2)
 771y -256z = 351081    (3)
Question solving process:

Multiply both sides of equation (1) by 97
Divide the two sides of equation (1) by 20, the equation can be obtained:
         
97
100
x + 
97
100
y - 
9409
2000
z = - 
79249
10
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 
1
5
x + 
1
5
y - 
97
100
z = -1634    (1)
 
7469
2000
z = 
49479
5
    (2)
 771y -256z = 351081    (3)

交After the exchange of equation (2) and equation (3)， the equation system becomes:
 
1
5
x + 
1
5
y - 
97
100
z = -1634    (1)
 771y -256z = 351081    (2)
 
7469
2000
z = 
49479
5
    (3)

Multiply both sides of equation (3) by 512000
Divide both sides of equation (3) by 7469, get the equation：
         256z = 
771682304
7469
    (5)
, then add the two sides of equation (5) to both sides of equation (2), get the equation：
 
1
5
x + 
1
5
y - 
97
100
z = -1634    (1)
 771y = 
901061003
7469
    (2)
 
7469
2000
z = 
49479
5
    (3)

Multiply both sides of equation (3) by 20
Divide both sides of equation (3) by 77, get the equation：
         
97
100
z = 
197916
77
    (6)
, then add the two sides of equation (6) to both sides of equation (1), get the equation：
 
1
5
x + 
1
5
y = 
72098
77
    (1)
 771y = 
901061003
7469
    (2)
 
7469
2000
z = 
49479
5
    (3)

Divide both sides of equation (2) by 3855, get the equation：
         
257
1285
y = 
901061003
28792995
    (7)
, then subtract both sides of equation (7) from both sides of equation (1), get the equation：
 
1
5
x = 
289100851
28792995
    (1)
 771y = 
901061003
7469
    (2)
 z = 
19791600
7469
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
289100851
5758599
    (1)
 y = 
901061003
5758599
    (2)
 z = 
19791600
7469
    (3)


Therefore, the solution of the equation set is:
x = 
289100851
5758599
y = 
901061003
5758599
z = 
19791600
7469


Convert the solution of the equation set to decimals:
x = 50.203331
y = 156.472261
z = 2649.832642

解方程组的详细方法请参阅：《多元一次方程组的解法》
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