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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 + z = 1    (1)
 
9993
10000
x + 
9993
10000
y + 
9993
10000
z = 
1999
1000
    (2)
 
999
1000
x + 
1999
1000
y + 
999
1000
z = 
999
1000
    (3)
Question solving process:

Multiply both sides of equation (1) by 9993
Divide the two sides of equation (1) by 10000, the equation can be obtained:
         
9993
10000
x + 
9993
10000
z = 
9993
10000
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 x + z = 1    (1)
 
9993
10000
y = 
9997
10000
    (2)
 
999
1000
x + 
1999
1000
y + 
999
1000
z = 
999
1000
    (3)

Multiply both sides of equation (1) by 999
Divide the two sides of equation (1) by 1000, the equation can be obtained:
         
999
1000
x + 
999
1000
z = 
999
1000
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 x + z = 1    (1)
 
9993
10000
y = 
9997
10000
    (2)
 
1999
1000
y = 0    (3)

Multiply both sides of equation (2) by 19990
Divide the two sides of equation (2) by 9993, the equation can be obtained:
         
6658669
3331000
y = 
19984003
9993000
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 x + z = 1    (1)
 
9993
10000
y = 
9997
10000
    (2)
0 = - 
19984003
9993000
    (3)

由第(3)方程式可以看出，该方程组无解。

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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