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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 -1E = 0    (1)
 B -1D = 0    (2)
 
707
1000
C - 
357
1000
E = 1    (3)
-1B + 
1357
1000
D + 
357
1000
E = 0    (4)
-1A - 
357
1000
C + 
357
1000
D + 
1357
1000
E = 0    (5)
Question solving process:

Divide the two sides of equation (1) by 2, the equation can be obtained:
         A - 
1
2
E = 0    (6)
, then add the two sides of equation (6) to both sides of equation (5), the equations are reduced to:
 2A -1E = 0    (1)
 B -1D = 0    (2)
 
707
1000
C - 
357
1000
E = 1    (3)
-1B + 
1357
1000
D + 
357
1000
E = 0    (4)
- 
357
1000
C + 
357
1000
D + 
857
1000
E = 0    (5)

Add both sides of equation (2) to both sides of equation (4) ,the equations are reduced to:
 2A -1E = 0    (1)
 B -1D = 0    (2)
 
707
1000
C - 
357
1000
E = 1    (3)
 
357
1000
D + 
357
1000
E = 0    (4)
- 
357
1000
C + 
357
1000
D + 
857
1000
E = 0    (5)

Multiply both sides of equation (3) by 51
Divide the two sides of equation (3) by 101, the equation can be obtained:
         
357
1000
C - 
18207
101000
E = 
51
101
    (7)
, then add the two sides of equation (7) to both sides of equation (5), the equations are reduced to:
 2A -1E = 0    (1)
 B -1D = 0    (2)
 
707
1000
C - 
357
1000
E = 1    (3)
 
357
1000
D + 
357
1000
E = 0    (4)
 
357
1000
D + 
1367
2020
E = 
51
101
    (5)

Subtract both sides of equation (4) from both sides of equation (5) ,the equations are reduced to:
 2A -1E = 0    (1)
 B -1D = 0    (2)
 
707
1000
C - 
357
1000
E = 1    (3)
 
357
1000
D + 
357
1000
E = 0    (4)
 
32293
101000
E = 
51
101
    (5)

Multiply both sides of equation (5) by 36057
Divide both sides of equation (5) by 32293, get the equation：
         
268107
751000
E = 
18207
32293
    (8)
, then subtract both sides of equation (8) from both sides of equation (4), get the equation：
 2A -1E = 0    (1)
 B -1D = 0    (2)
 
707
1000
C - 
357
1000
E = 1    (3)
 
357
1000
D = - 
18207
32293
    (4)
 
32293
101000
E = 
51
101
    (5)

Multiply both sides of equation (5) by 36057
Divide both sides of equation (5) by 32293, get the equation：
         
268107
751000
E = 
18207
32293
    (9)
, then add the two sides of equation (9) to both sides of equation (3), get the equation：
 2A -1E = 0    (1)
 B -1D = 0    (2)
 
707
1000
C = 
50500
32293
    (3)
 
357
1000
D = - 
18207
32293
    (4)
 
32293
101000
E = 
51
101
    (5)

Multiply both sides of equation (5) by 101000
Divide both sides of equation (5) by 32293, get the equation：
         E = 
51000
32293
    (10)
, then add the two sides of equation (10) to both sides of equation (1), get the equation：
 2A = 
51000
32293
    (1)
 B -1D = 0    (2)
 
707
1000
C = 
50500
32293
    (3)
 
357
1000
D = - 
18207
32293
    (4)
 
32293
101000
E = 
51
101
    (5)

Multiply both sides of equation (4) by 1000
Divide both sides of equation (4) by 357, get the equation：
         D = - 
51000
32293
    (11)
, then add the two sides of equation (11) to both sides of equation (2), get the equation：
 2A = 
51000
32293
    (1)
 B = - 
51000
32293
    (2)
 
707
1000
C = 
50500
32293
    (3)
 
357
1000
D = - 
18207
32293
    (4)
 E = 
51000
32293
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = 
25500
32293
    (1)
 B = - 
51000
32293
    (2)
 C = 
500000
226051
    (3)
 D = - 
51000
32293
    (4)
 E = 
51000
32293
    (5)


Therefore, the solution of the equation set is:
A = 
25500
32293
B = - 
51000
32293
C = 
500000
226051
D = - 
51000
32293
E = 
51000
32293


Convert the solution of the equation set to decimals:
A = 0.789645
B = -1.579290
C = 2.211890
D = -1.579290
E = 1.579290

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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