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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:
 A + B -1E = 0    (1)
 C + D -1E = 0    (2)
 510A + 510C + 510E = 5    (3)
 3000B + 330D + 510E = 12    (4)
 510A + 3000B + 510C + 330D = 17    (5)
Question solving process:

Multiply both sides of equation (1) by 510, the equation can be obtained:
         510A + 510B -510E = 0    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 A + B -1E = 0    (1)
 C + D -1E = 0    (2)
-510B + 510C + 1020E = 5    (3)
 3000B + 330D + 510E = 12    (4)
 510A + 3000B + 510C + 330D = 17    (5)

Multiply both sides of equation (1) by 510, the equation can be obtained:
         510A + 510B -510E = 0    (7)
, then subtract both sides of equation (7) from both sides of equation (5), the equations are reduced to:
 A + B -1E = 0    (1)
 C + D -1E = 0    (2)
-510B + 510C + 1020E = 5    (3)
 3000B + 330D + 510E = 12    (4)
 2490B + 510C + 330D + 510E = 17    (5)

交After the exchange of equation (2) and equation (3)， the equation system becomes:
 A + B -1E = 0    (1)
-510B + 510C + 1020E = 5    (2)
 C + D -1E = 0    (3)
 3000B + 330D + 510E = 12    (4)
 2490B + 510C + 330D + 510E = 17    (5)

Multiply both sides of equation (2) by 100
Divide the two sides of equation (2) by 17, the equation can be obtained:
        -3000B + 3000C + 6000E = 
500
17
    (8)
, then add the two sides of equation (8) to both sides of equation (4), the equations are reduced to:
 A + B -1E = 0    (1)
-510B + 510C + 1020E = 5    (2)
 C + D -1E = 0    (3)
 3000C + 330D + 6510E = 
704
17
    (4)
 2490B + 510C + 330D + 510E = 17    (5)

Multiply both sides of equation (2) by 83
Divide the two sides of equation (2) by 17, the equation can be obtained:
        -2490B + 2490C + 4980E = 
415
17
    (9)
, then add the two sides of equation (9) to both sides of equation (5), the equations are reduced to:
 A + B -1E = 0    (1)
-510B + 510C + 1020E = 5    (2)
 C + D -1E = 0    (3)
 3000C + 330D + 6510E = 
704
17
    (4)
 3000C + 330D + 5490E = 
704
17
    (5)

Multiply both sides of equation (3) by 3000, the equation can be obtained:
         3000C + 3000D -3000E = 0    (10)
, then subtract both sides of equation (10) from both sides of equation (4), the equations are reduced to:
 A + B -1E = 0    (1)
-510B + 510C + 1020E = 5    (2)
 C + D -1E = 0    (3)
-2670D + 9510E = 
704
17
    (4)
 3000C + 330D + 5490E = 
704
17
    (5)

Multiply both sides of equation (3) by 3000, the equation can be obtained:
         3000C + 3000D -3000E = 0    (11)
, then subtract both sides of equation (11) from both sides of equation (5), the equations are reduced to:
 A + B -1E = 0    (1)
-510B + 510C + 1020E = 5    (2)
 C + D -1E = 0    (3)
-2670D + 9510E = 
704
17
    (4)
-2670D + 8490E = 
704
17
    (5)

Subtract both sides of equation (4) from both sides of equation (5) ,the equations are reduced to:
 A + B -1E = 0    (1)
-510B + 510C + 1020E = 5    (2)
 C + D -1E = 0    (3)
-2670D + 9510E = 
704
17
    (4)
-1020E = 0    (5)

Multiply both sides of equation (5) by 317
Divide both sides of equation (5) by 34, get the equation：
        -9510E = 0    (12)
, then add the two sides of equation (12) to both sides of equation (4), get the equation：
 A + B -1E = 0    (1)
-510B + 510C + 1020E = 5    (2)
 C + D -1E = 0    (3)
-2670D = 
704
17
    (4)
-1020E = 0    (5)

Divide both sides of equation (5) by 1020, get the equation：
        -1E = 0    (13)
, then subtract both sides of equation (13) from both sides of equation (3), get the equation：
 A + B -1E = 0    (1)
-510B + 510C + 1020E = 5    (2)
 C + D = 0    (3)
-2670D = 
704
17
    (4)
-1020E = 0    (5)

Add both sides of equation (5) to both sides of equation (2), get the equation：
 A + B -1E = 0    (1)
-510B + 510C = 5    (2)
 C + D = 0    (3)
-2670D = 
704
17
    (4)
-1020E = 0    (5)

Divide both sides of equation (5) by 1020, get the equation：
        -1E = 0    (14)
, then subtract both sides of equation (14) from both sides of equation (1), get the equation：
 A + B = 0    (1)
-510B + 510C = 5    (2)
 C + D = 0    (3)
-2670D = 
704
17
    (4)
-1020E = 0    (5)

Divide both sides of equation (4) by 2670, get the equation：
        -1D = 
352
22695
    (15)
, then add the two sides of equation (15) to both sides of equation (3), get the equation：
 A + B = 0    (1)
-510B + 510C = 5    (2)
 C = 
352
22695
    (3)
-2670D = 
704
17
    (4)
 E = 0    (5)

Multiply both sides of equation (3) by 510, get the equation：
         510C = 
704
89
    (16)
, then subtract both sides of equation (16) from both sides of equation (2), get the equation：
 A + B = 0    (1)
-510B = - 
259
89
    (2)
 C = 
352
22695
    (3)
 D = - 
352
22695
    (4)
 E = 0    (5)

Divide both sides of equation (2) by 510, get the equation：
        -1B = - 
259
45390
    (17)
, then add the two sides of equation (17) to both sides of equation (1), get the equation：
 A = - 
259
45390
    (1)
-510B = - 
259
89
    (2)
 C = 
352
22695
    (3)
 D = - 
352
22695
    (4)
 E = 0    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = - 
259
45390
    (1)
 B = 
259
45390
    (2)
 C = 
352
22695
    (3)
 D = - 
352
22695
    (4)
 E = 0    (5)


Therefore, the solution of the equation set is:
A = - 
259
45390
B = 
259
45390
C = 
352
22695
D = - 
352
22695
E = 0


Convert the solution of the equation set to decimals:
A = -0.005706
B = 0.005706
C = 0.015510
D = -0.015510
E = 0

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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