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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:
 225x + 15y + z = 1000    (1)
 961x + 31y + z = 2000    (2)
 40000x + 200y + z = 10000    (3)
Question solving process:

Multiply both sides of equation (1) by 961
Divide the two sides of equation (1) by 225, the equation can be obtained:
         961x + 
961
15
y + 
961
225
z = 
38440
9
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 225x + 15y + z = 1000    (1)
- 
496
15
y - 
736
225
z = - 
20440
9
    (2)
 40000x + 200y + z = 10000    (3)

Multiply both sides of equation (1) by 1600
Divide the two sides of equation (1) by 9, the equation can be obtained:
         40000x + 
8000
3
y + 
1600
9
z = 
1600000
9
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 225x + 15y + z = 1000    (1)
- 
496
15
y - 
736
225
z = - 
20440
9
    (2)
- 
7400
3
y - 
1591
9
z = - 
1510000
9
    (3)

Multiply both sides of equation (2) by 4625
Divide the two sides of equation (2) by 62, the equation can be obtained:
        - 
7400
3
y - 
68080
279
z = - 
47267500
279
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 225x + 15y + z = 1000    (1)
- 
496
15
y - 
736
225
z = - 
20440
9
    (2)
 
6253
93
z = 
152500
93
    (3)

Multiply both sides of equation (3) by 22816
Divide both sides of equation (3) by 468975, get the equation：
         
736
225
z = 
4489600
56277
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 225x + 15y + z = 1000    (1)
- 
496
15
y = - 
41107240
18759
    (2)
 
6253
93
z = 
152500
93
    (3)

Multiply both sides of equation (3) by 93
Divide both sides of equation (3) by 6253, get the equation：
         z = 
152500
6253
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 225x + 15y = 
6100500
6253
    (1)
- 
496
15
y = - 
41107240
18759
    (2)
 
6253
93
z = 
152500
93
    (3)

Multiply both sides of equation (2) by 225
Divide both sides of equation (2) by 496, get the equation：
        -15y = - 
12431625
12506
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 225x = - 
230625
12506
    (1)
- 
496
15
y = - 
41107240
18759
    (2)
 z = 
152500
6253
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
1025
12506
    (1)
 y = 
828775
12506
    (2)
 z = 
152500
6253
    (3)


Therefore, the solution of the equation set is:
x = - 
1025
12506
y = 
828775
12506
z = 
152500
6253


Convert the solution of the equation set to decimals:
x = -0.081961
y = 66.270190
z = 24.388294

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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