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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:
 x + y = 
83683
50
    (1)
 
54
5
x + z = 
255233
25
    (2)
 
23
10
x + 
133
10
y -1z = 
123853
10
    (3)
Question solving process:

Multiply both sides of equation (1) by 54
Divide the two sides of equation (1) by 5, the equation can be obtained:
         
54
5
x + 
54
5
y = 
2259441
125
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 x + y = 
83683
50
    (1)
- 
54
5
y + z = - 
983276
125
    (2)
 
23
10
x + 
133
10
y -1z = 
123853
10
    (3)

Multiply both sides of equation (1) by 23
Divide the two sides of equation (1) by 10, the equation can be obtained:
         
23
10
x + 
23
10
y = 
1924709
500
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 x + y = 
83683
50
    (1)
- 
54
5
y + z = - 
983276
125
    (2)
 11y -1z = 
4267941
500
    (3)

Multiply both sides of equation (2) by 55
Divide the two sides of equation (2) by 54, the equation can be obtained:
        -11y + 
55
54
z = - 
5408018
675
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 x + y = 
83683
50
    (1)
- 
54
5
y + z = - 
983276
125
    (2)
 
1
54
z = 
7074047
13500
    (3)

Multiply both sides of equation (3) by 54, get the equation：
         z = 
7074047
250
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 x + y = 
83683
50
    (1)
- 
54
5
y = - 
9040599
250
    (2)
 
1
54
z = 
7074047
13500
    (3)

Multiply both sides of equation (2) by 5
Divide both sides of equation (2) by 54, get the equation：
        -1y = - 
334837
100
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 x = - 
167471
100
    (1)
- 
54
5
y = - 
9040599
250
    (2)
 z = 
7074047
250
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
167471
100
    (1)
 y = 
334837
100
    (2)
 z = 
7074047
250
    (3)


Therefore, the solution of the equation set is:
x = - 
167471
100
y = 
334837
100
z = 
7074047
250


Convert the solution of the equation set to decimals:
x = -1674.710000
y = 3348.370000
z = 28296.188000

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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