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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:
 3x + 30y + 350z = 
629
100
    (1)
 30x + 350y + 4500z = 
1417
20
    (2)
 350x + 4500y + 61250z = 
3565
4
    (3)
Question solving process:

Multiply both sides of equation (1) by 10, the equation can be obtained:
         30x + 300y + 3500z = 
629
10
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 3x + 30y + 350z = 
629
100
    (1)
 50y + 1000z = 
159
20
    (2)
 350x + 4500y + 61250z = 
3565
4
    (3)

Multiply both sides of equation (1) by 350
Divide the two sides of equation (1) by 3, the equation can be obtained:
         350x + 3500y + 
122500
3
z = 
4403
6
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 3x + 30y + 350z = 
629
100
    (1)
 50y + 1000z = 
159
20
    (2)
 1000y + 
61250
3
z = 
1889
12
    (3)

Multiply both sides of equation (2) by 20, the equation can be obtained:
         1000y + 20000z = 159    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 3x + 30y + 350z = 
629
100
    (1)
 50y + 1000z = 
159
20
    (2)
 
1250
3
z = - 
19
12
    (3)

Multiply both sides of equation (3) by 12
Divide both sides of equation (3) by 5, get the equation：
         1000z = - 
19
5
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 3x + 30y + 350z = 
629
100
    (1)
 50y = 
47
4
    (2)
 
1250
3
z = - 
19
12
    (3)

Multiply both sides of equation (3) by 21
Divide both sides of equation (3) by 25, get the equation：
         350z = - 
133
100
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 3x + 30y = 
381
50
    (1)
 50y = 
47
4
    (2)
 
1250
3
z = - 
19
12
    (3)

Multiply both sides of equation (2) by 3
Divide both sides of equation (2) by 5, get the equation：
         30y = 
141
20
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 3x = 
57
100
    (1)
 50y = 
47
4
    (2)
 z = - 
19
5000
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
19
100
    (1)
 y = 
47
200
    (2)
 z = - 
19
5000
    (3)


Therefore, the solution of the equation set is:
x = 
19
100
y = 
47
200
z = - 
19
5000


Convert the solution of the equation set to decimals:
x = 0.190000
y = 0.235000
z = -0.003800

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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