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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:
 285x + 45y + 10z = 1637    (1)
 2025x + 285y + 45z = 1637    (2)
 15333x + 2025y + 285z = 1637    (3)
Question solving process:

Multiply both sides of equation (1) by 135
Divide the two sides of equation (1) by 19, the equation can be obtained:
         2025x + 
6075
19
y + 
1350
19
z = 
220995
19
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 285x + 45y + 10z = 1637    (1)
- 
660
19
y - 
495
19
z = - 
189892
19
    (2)
 15333x + 2025y + 285z = 1637    (3)

Multiply both sides of equation (1) by 269
Divide the two sides of equation (1) by 5, the equation can be obtained:
         15333x + 2421y + 538z = 
440353
5
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 285x + 45y + 10z = 1637    (1)
- 
660
19
y - 
495
19
z = - 
189892
19
    (2)
-396y -253z = - 
432168
5
    (3)

Multiply both sides of equation (2) by 57
Divide the two sides of equation (2) by 5, the equation can be obtained:
        -396y -297z = - 
569676
5
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 285x + 45y + 10z = 1637    (1)
- 
660
19
y - 
495
19
z = - 
189892
19
    (2)
 44z = 
137508
5
    (3)

Multiply both sides of equation (3) by 45
Divide both sides of equation (3) by 76, get the equation：
         
495
19
z = 
309393
19
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 285x + 45y + 10z = 1637    (1)
- 
660
19
y = 
119501
19
    (2)
 44z = 
137508
5
    (3)

Multiply both sides of equation (3) by 5
Divide both sides of equation (3) by 22, get the equation：
         10z = 
68754
11
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 285x + 45y = - 
50747
11
    (1)
- 
660
19
y = 
119501
19
    (2)
 44z = 
137508
5
    (3)

Multiply both sides of equation (2) by 57
Divide both sides of equation (2) by 44, get the equation：
        -45y = 
358503
44
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 285x = 
155515
44
    (1)
- 
660
19
y = 
119501
19
    (2)
 z = 
34377
55
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
1637
132
    (1)
 y = - 
119501
660
    (2)
 z = 
34377
55
    (3)


Therefore, the solution of the equation set is:
x = 
1637
132
y = - 
119501
660
z = 
34377
55


Convert the solution of the equation set to decimals:
x = 12.401515
y = -181.062121
z = 625.036364

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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