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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 + z = 0    (1)
 205x + 510z = 3    (2)
 1000y + 840z = 12    (3)
Question solving process:

Multiply both sides of equation (1) by 205, the equation can be obtained:
         205x + 205y + 205z = 0    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 x + y + z = 0    (1)
-205y + 305z = 3    (2)
 1000y + 840z = 12    (3)

Multiply both sides of equation (2) by 200
Divide the two sides of equation (2) by 41, the equation can be obtained:
        -1000y + 
61000
41
z = 
600
41
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 x + y + z = 0    (1)
-205y + 305z = 3    (2)
 
95440
41
z = 
1092
41
    (3)

Multiply both sides of equation (3) by 2501
Divide both sides of equation (3) by 19088, get the equation：
         
363865
1193
z = 
16653
4772
    (6)
, then subtract both sides of equation (6) from both sides of equation (2), get the equation：
 x + y + z = 0    (1)
-205y = - 
2337
4772
    (2)
 
95440
41
z = 
1092
41
    (3)

Multiply both sides of equation (3) by 41
Divide both sides of equation (3) by 95440, get the equation：
         z = 
273
23860
    (7)
, then subtract both sides of equation (7) from both sides of equation (1), get the equation：
 x + y = - 
273
23860
    (1)
-205y = - 
2337
4772
    (2)
 
95440
41
z = 
1092
41
    (3)

Divide both sides of equation (2) by 205, get the equation：
        -1y = - 
57
23860
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 x = - 
39369
2846498
    (1)
-205y = - 
2337
4772
    (2)
 z = 
273
23860
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
39369
2846498
    (1)
 y = 
57
23860
    (2)
 z = 
273
23860
    (3)


Therefore, the solution of the equation set is:
x = - 
39369
2846498
y = 
57
23860
z = 
273
23860


Convert the solution of the equation set to decimals:
x = -0.013831
y = 0.002389
z = 0.011442

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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