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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:
 9216x + 96y + z = 100    (1)
 8464x + 92y + z = 89    (2)
 7569x + 87y + z = 93    (3)
Question solving process:

Multiply both sides of equation (1) by 529
Divide the two sides of equation (1) by 576, the equation can be obtained:
         8464x + 
529
6
y + 
529
576
z = 
13225
144
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 9216x + 96y + z = 100    (1)
 
23
6
y + 
47
576
z = - 
409
144
    (2)
 7569x + 87y + z = 93    (3)

Multiply both sides of equation (1) by 841
Divide the two sides of equation (1) by 1024, the equation can be obtained:
         7569x + 
2523
32
y + 
841
1024
z = 
21025
256
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 9216x + 96y + z = 100    (1)
 
23
6
y + 
47
576
z = - 
409
144
    (2)
 
261
32
y + 
183
1024
z = 
2783
256
    (3)

Multiply both sides of equation (2) by 783
Divide the two sides of equation (2) by 368, the equation can be obtained:
         
261
32
y + 
4089
23552
z = - 
35583
5888
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 9216x + 96y + z = 100    (1)
 
23
6
y + 
47
576
z = - 
409
144
    (2)
 
15
2944
z = 
12449
736
    (3)

Multiply both sides of equation (3) by 2162
Divide both sides of equation (3) by 135, get the equation：
         
47
576
z = 
585103
2160
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 9216x + 96y + z = 100    (1)
 
23
6
y = - 
295619
1080
    (2)
 
15
2944
z = 
12449
736
    (3)

Multiply both sides of equation (3) by 2944
Divide both sides of equation (3) by 15, get the equation：
         z = 
49796
15
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 9216x + 96y = - 
48296
15
    (1)
 
23
6
y = - 
295619
1080
    (2)
 
15
2944
z = 
12449
736
    (3)

Multiply both sides of equation (2) by 576
Divide both sides of equation (2) by 23, get the equation：
         96y = - 
102824
15
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 9216x = 
18176
5
    (1)
 
23
6
y = - 
295619
1080
    (2)
 z = 
49796
15
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
71
180
    (1)
 y = - 
12853
180
    (2)
 z = 
49796
15
    (3)


Therefore, the solution of the equation set is:
x = 
71
180
y = - 
12853
180
z = 
49796
15


Convert the solution of the equation set to decimals:
x = 0.394444
y = -71.405556
z = 3319.733333

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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