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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:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 6A -12B -12D = - 
9433
500
    (3)
 6A + 4B + 12D = - 
1393
50
    (4)
 6A + 12B + 12D = - 
1493
50
    (5)
Question solving process:

Divide the two sides of equation (1) by 3, the equation can be obtained:
         6A + 6B + 6C -6D -6E = 0    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
-18B -6C -6D + 6E = - 
9433
500
    (3)
 6A + 4B + 12D = - 
1393
50
    (4)
 6A + 12B + 12D = - 
1493
50
    (5)

Divide the two sides of equation (1) by 3, the equation can be obtained:
         6A + 6B + 6C -6D -6E = 0    (7)
, then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
-18B -6C -6D + 6E = - 
9433
500
    (3)
-2B -6C + 18D + 6E = - 
1393
50
    (4)
 6A + 12B + 12D = - 
1493
50
    (5)

Divide the two sides of equation (1) by 3, the equation can be obtained:
         6A + 6B + 6C -6D -6E = 0    (8)
, then subtract both sides of equation (8) from both sides of equation (5), the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
-18B -6C -6D + 6E = - 
9433
500
    (3)
-2B -6C + 18D + 6E = - 
1393
50
    (4)
 6B -6C + 18D + 6E = - 
1493
50
    (5)

Divide the two sides of equation (2) by 2, the equation can be obtained:
         18B + 18C = - 
641
125
    (9)
, then add the two sides of equation (9) to both sides of equation (3), the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D + 6E = - 
11997
500
    (3)
-2B -6C + 18D + 6E = - 
1393
50
    (4)
 6B -6C + 18D + 6E = - 
1493
50
    (5)

Divide the two sides of equation (2) by 18, the equation can be obtained:
         2B + 2C = - 
641
1125
    (10)
, then add the two sides of equation (10) to both sides of equation (4), the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D + 6E = - 
11997
500
    (3)
-4C + 18D + 6E = - 
63967
2250
    (4)
 6B -6C + 18D + 6E = - 
1493
50
    (5)

Divide the two sides of equation (2) by 6, the equation can be obtained:
         6B + 6C = - 
641
375
    (11)
, then subtract both sides of equation (11) from both sides of equation (5), the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D + 6E = - 
11997
500
    (3)
-4C + 18D + 6E = - 
63967
2250
    (4)
-12C + 18D + 6E = - 
21113
750
    (5)

Divide the two sides of equation (3) by 3, the equation can be obtained:
         4C -2D + 2E = - 
3999
500
    (12)
, then add the two sides of equation (12) to both sides of equation (4), the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D + 6E = - 
11997
500
    (3)
 16D + 8E = - 
6557
180
    (4)
-12C + 18D + 6E = - 
21113
750
    (5)

Add both sides of equation (3) to both sides of equation (5) ,the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D + 6E = - 
11997
500
    (3)
 16D + 8E = - 
6557
180
    (4)
 12D + 12E = - 
78217
1500
    (5)

Multiply both sides of equation (4) by 3
Divide the two sides of equation (4) by 4, the equation can be obtained:
         12D + 6E = - 
6557
240
    (13)
, then subtract both sides of equation (13) from both sides of equation (5), the equations are reduced to:
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D + 6E = - 
11997
500
    (3)
 16D + 8E = - 
6557
180
    (4)
 6E = - 
148943
6000
    (5)

Multiply both sides of equation (5) by 4
Divide both sides of equation (5) by 3, get the equation：
         8E = - 
148943
4500
    (14)
, then subtract both sides of equation (14) from both sides of equation (4), get the equation：
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D + 6E = - 
11997
500
    (3)
 16D = - 
2497
750
    (4)
 6E = - 
148943
6000
    (5)

Subtract both sides of equation (5) from both sides of equation (3), get the equation：
 18A + 18B + 18C -18D -18E = 0    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D = 
4979
6000
    (3)
 16D = - 
2497
750
    (4)
 6E = - 
148943
6000
    (5)

Multiply both sides of equation (5) by 3, get the equation：
         18E = - 
148943
2000
    (15)
, then add the two sides of equation (15) to both sides of equation (1), get the equation：
 18A + 18B + 18C -18D = - 
148943
2000
    (1)
 36B + 36C = - 
1282
125
    (2)
 12C -6D = 
4979
6000
    (3)
 16D = - 
2497
750
    (4)
 6E = - 
148943
6000
    (5)

Multiply both sides of equation (4) by 3
Divide both sides of equation (4) by 8, get the equation：
         6D = - 
2497
2000
    (16)
, then add the two sides of equation (16) to both sides of equation (3), get the equation：
 18A + 18B + 18C -18D = - 
148943
2000
    (1)
 36B + 36C = - 
1282
125
    (2)
 12C = - 
157
375
    (3)
 16D = - 
2497
750
    (4)
 E = - 
148943
36000
    (5)

Multiply both sides of equation (4) by 9
Divide both sides of equation (4) by 8, get the equation：
         18D = - 
7491
2000
    (17)
, then add the two sides of equation (17) to both sides of equation (1), get the equation：
 18A + 18B + 18C = - 
78217
1000
    (1)
 36B + 36C = - 
1282
125
    (2)
 12C = - 
157
375
    (3)
 16D = - 
2497
750
    (4)
 E = - 
148943
36000
    (5)

Multiply both sides of equation (3) by 3, get the equation：
         36C = - 
157
125
    (18)
, then subtract both sides of equation (18) from both sides of equation (2), get the equation：
 18A + 18B + 18C = - 
78217
1000
    (1)
 36B = -9    (2)
 12C = - 
157
375
    (3)
 D = - 
2497
12000
    (4)
 E = - 
148943
36000
    (5)

Multiply both sides of equation (3) by 3
Divide both sides of equation (3) by 2, get the equation：
         18C = - 
157
250
    (19)
, then subtract both sides of equation (19) from both sides of equation (1), get the equation：
 18A + 18B = - 
77589
1000
    (1)
 36B = -9    (2)
 12C = - 
157
375
    (3)
 D = - 
2497
12000
    (4)
 E = - 
148943
36000
    (5)

Divide both sides of equation (2) by 2, get the equation：
         18B = - 
9
2
    (20)
, then subtract both sides of equation (20) from both sides of equation (1), get the equation：
 18A = - 
73089
1000
    (1)
 36B = -9    (2)
 C = - 
157
4500
    (3)
 D = - 
2497
12000
    (4)
 E = - 
148943
36000
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = - 
8121
2000
    (1)
 B = - 
1
4
    (2)
 C = - 
157
4500
    (3)
 D = - 
2497
12000
    (4)
 E = - 
148943
36000
    (5)


Therefore, the solution of the equation set is:
A = - 
8121
2000
B = - 
1
4
C = - 
157
4500
D = - 
2497
12000
E = - 
148943
36000


Convert the solution of the equation set to decimals:
A = -4.060500
B = -0.250000
C = -0.034889
D = -0.208083
E = -4.137306

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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