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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:
 33x -43y + 10z = 0    (1)
-25x + 85y -50z = 200    (2)
 x + y + 10z = 20    (3)
Question solving process:

Multiply both sides of equation (1) by 25
Divide the two sides of equation (1) by 33, the equation can be obtained:
         25x - 
1075
33
y + 
250
33
z = 0    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 33x -43y + 10z = 0    (1)
 
1730
33
y - 
1400
33
z = 200    (2)
 x + y + 10z = 20    (3)

Divide the two sides of equation (1) by 33, the equation can be obtained:
         x - 
43
33
y + 
10
33
z = 0    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 33x -43y + 10z = 0    (1)
 
1730
33
y - 
1400
33
z = 200    (2)
 
76
33
y + 
320
33
z = 20    (3)

Multiply both sides of equation (2) by 38
Divide the two sides of equation (2) by 865, the equation can be obtained:
         
13148
5709
y - 
10640
5709
z = 
1520
173
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 33x -43y + 10z = 0    (1)
 
1730
33
y - 
1400
33
z = 200    (2)
 
2000
173
z = 
1940
173
    (3)

Multiply both sides of equation (3) by 1211
Divide both sides of equation (3) by 330, get the equation：
         
242200
5709
z = 
234934
5709
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 33x -43y + 10z = 0    (1)
 
1730
33
y = 
1376734
5709
    (2)
 
2000
173
z = 
1940
173
    (3)

Multiply both sides of equation (3) by 173
Divide both sides of equation (3) by 200, get the equation：
         
1730
173
z = 
16781
1730
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 33x -43y = - 
16781
1730
    (1)
 
1730
33
y = 
1376734
5709
    (2)
 
2000
173
z = 
1940
173
    (3)

Multiply both sides of equation (2) by 1419
Divide both sides of equation (2) by 1730, get the equation：
         
7439
173
y = 
171097
865
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 33x = 
325413
1730
    (1)
 
1730
33
y = 
1376734
5709
    (2)
 z = 
16781
17300
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
9861
1730
    (1)
 y = 
3979
865
    (2)
 z = 
16781
17300
    (3)


Therefore, the solution of the equation set is:
x = 
9861
1730
y = 
3979
865
z = 
16781
17300


Convert the solution of the equation set to decimals:
x = 5.700000
y = 4.600000
z = 0.970000

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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