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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:
 1100A + 100B + 100C + 100D -150E = 0    (1)
 1100B + 100C + 100D -1150E = 0    (2)
 1000A + 980B + 960C + 940D -1055E = 0    (3)
0 = 0    (4)
0 = 0    (5)
Question solving process:

Multiply both sides of equation (1) by 10
Divide the two sides of equation (1) by 11, the equation can be obtained:
         1000A + 
1000
11
B + 
1000
11
C + 
1000
11
D - 
1500
11
E = 0    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 1100A + 100B + 100C + 100D -150E = 0    (1)
 1100B + 100C + 100D -1150E = 0    (2)
 
9780
11
B + 
9560
11
C + 
9340
11
D - 
10105
11
E = 0    (3)
0 = 0    (4)
0 = 0    (5)

Multiply both sides of equation (2) by 489
Divide the two sides of equation (2) by 605, the equation can be obtained:
         
9780
11
B + 
9780
121
C + 
9780
121
D - 
112470
121
E = 0    (7)
, then subtract both sides of equation (7) from both sides of equation (3), the equations are reduced to:
 1100A + 100B + 100C + 100D -150E = 0    (1)
 1100B + 100C + 100D -1150E = 0    (2)
 
95380
121
C + 
92960
121
D + 
1315
121
E = 0    (3)
0 = 0    (4)
0 = 0    (5)

Multiply both sides of equation (3) by 605
Divide both sides of equation (3) by 4769, get the equation：
         
25100
251
C + 
464800
4769
D + 
6575
4769
E = 0    (8)
, then subtract both sides of equation (8) from both sides of equation (2), get the equation：
 1100A + 100B + 100C + 100D -150E = 0    (1)
 1100B + 
12100
4769
D - 
5490925
4769
E = 0    (2)
 
95380
121
C + 
92960
121
D + 
1315
121
E = 0    (3)
0 = 0    (4)
0 = 0    (5)

Multiply both sides of equation (3) by 605
Divide both sides of equation (3) by 4769, get the equation：
         
25100
251
C + 
464800
4769
D + 
6575
4769
E = 0    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 1100A + 100B + 
12100
4769
D - 
721925
4769
E = 0    (1)
 1100B + 
12100
4769
D - 
5490925
4769
E = 0    (2)
 
95380
121
C + 
92960
121
D + 
1315
121
E = 0    (3)
0 = 0    (4)
0 = 0    (5)

Divide both sides of equation (2) by 11, get the equation：
         100B + 
1100
4769
D - 
499175
4769
E = 0    (10)
, then subtract both sides of equation (10) from both sides of equation (1), get the equation：
 1100A + 
11000
4769
D - 
222750
4769
E = 0    (1)
 1100B + 
12100
4769
D - 
5490925
4769
E = 0    (2)
 C + 
4648
4769
D + 
263
19076
E = 0    (3)
0 = 0    (4)
0 = 0    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A + 
10
4769
D - 
405
9538
E = 0    (1)
 B + 
11
4769
D - 
19967
19076
E = 0    (2)
 C + 
4648
4769
D + 
263
19076
E = 0    (3)
0 = 0    (4)
0 = 0    (5)


Therefore, the solution of the equation set is:
A = -
10
4769
D + 
405
9538
E
B = -
11
4769
D + 
19967
19076
E
C = -
4648
4769
D - 
263
19076
E

Where:  D, E are arbitrary constants.
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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