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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:
 2A + B = - 
13569
250
    (1)
 5A + 2B + 9C = - 
1079
250
    (2)
 2B + 2C + 3D = 
329
250
    (3)
 4C + 2D + 3E = - 
1829
250
    (4)
 D + 2E = - 
579
250
    (5)
Question solving process:

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 2, the equation can be obtained:
         5A + 
5
2
B = - 
13569
100
    (6)
, then subtract both sides of equation (6) from both sides of equation (2), the equations are reduced to:
 2A + B = - 
13569
250
    (1)
- 
1
2
B + 9C = 
65687
500
    (2)
 2B + 2C + 3D = 
329
250
    (3)
 4C + 2D + 3E = - 
1829
250
    (4)
 D + 2E = - 
579
250
    (5)

Multiply both sides of equation (2) by 4, the equation can be obtained:
        -2B + 36C = 
65687
125
    (7)
, then add the two sides of equation (7) to both sides of equation (3), the equations are reduced to:
 2A + B = - 
13569
250
    (1)
- 
1
2
B + 9C = 
65687
500
    (2)
 38C + 3D = 
131703
250
    (3)
 4C + 2D + 3E = - 
1829
250
    (4)
 D + 2E = - 
579
250
    (5)

Multiply both sides of equation (3) by 2
Divide the two sides of equation (3) by 19, the equation can be obtained:
         4C + 
6
19
D = 
131703
2375
    (8)
, then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
 2A + B = - 
13569
250
    (1)
- 
1
2
B + 9C = 
65687
500
    (2)
 38C + 3D = 
131703
250
    (3)
 
32
19
D + 3E = - 
298157
4750
    (4)
 D + 2E = - 
579
250
    (5)

Multiply both sides of equation (4) by 19
Divide the two sides of equation (4) by 32, the equation can be obtained:
         D + 
57
32
E = - 
298157
8000
    (9)
, then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
 2A + B = - 
13569
250
    (1)
- 
1
2
B + 9C = 
65687
500
    (2)
 38C + 3D = 
131703
250
    (3)
 
32
19
D + 3E = - 
298157
4750
    (4)
 
7
32
E = 
279629
8000
    (5)

Multiply both sides of equation (5) by 96
Divide both sides of equation (5) by 7, get the equation：
         3E = 
119841
250
    (10)
, then subtract both sides of equation (10) from both sides of equation (4), get the equation：
 2A + B = - 
13569
250
    (1)
- 
1
2
B + 9C = 
65687
500
    (2)
 38C + 3D = 
131703
250
    (3)
 
32
19
D = - 
1287568
2375
    (4)
 
7
32
E = 
279629
8000
    (5)

Multiply both sides of equation (4) by 57
Divide both sides of equation (4) by 32, get the equation：
         3D = - 
241419
250
    (11)
, then subtract both sides of equation (11) from both sides of equation (3), get the equation：
 2A + B = - 
13569
250
    (1)
- 
1
2
B + 9C = 
65687
500
    (2)
 38C = 
186561
125
    (3)
 
32
19
D = - 
1287568
2375
    (4)
 E = 
39947
250
    (5)

Multiply both sides of equation (3) by 9
Divide both sides of equation (3) by 38, get the equation：
         9C = 
88371
250
    (12)
, then subtract both sides of equation (12) from both sides of equation (2), get the equation：
 2A + B = - 
13569
250
    (1)
- 
1
2
B = - 
22211
100
    (2)
 38C = 
186561
125
    (3)
 D = - 
80473
250
    (4)
 E = 
39947
250
    (5)

Multiply both sides of equation (2) by 2, get the equation：
        -1B = - 
22211
50
    (13)
, then add the two sides of equation (13) to both sides of equation (1), get the equation：
 2A = - 
62312
125
    (1)
- 
1
2
B = - 
22211
100
    (2)
 C = 
9819
250
    (3)
 D = - 
80473
250
    (4)
 E = 
39947
250
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = - 
31156
125
    (1)
 B = 
22211
50
    (2)
 C = 
9819
250
    (3)
 D = - 
80473
250
    (4)
 E = 
39947
250
    (5)


Therefore, the solution of the equation set is:
A = - 
31156
125
B = 
22211
50
C = 
9819
250
D = - 
80473
250
E = 
39947
250


Convert the solution of the equation set to decimals:
A = -249.248000
B = 444.220000
C = 39.276000
D = -321.892000
E = 159.788000

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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