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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 + C = 262    (1)
 60A -5D -25E = -2254    (2)
 42B + D = 5273    (3)
 35C + E = 3646    (4)
 E = 0    (5)
Question solving process:

Multiply both sides of equation (1) by 60, the equation can be obtained:
         60A + 60B + 60C = 15720    (6)
, then subtract both sides of equation (6) from both sides of equation (2), the equations are reduced to:
 A + B + C = 262    (1)
-60B -60C -5D -25E = -17974    (2)
 42B + D = 5273    (3)
 35C + E = 3646    (4)
 E = 0    (5)

Multiply both sides of equation (2) by 7
Divide the two sides of equation (2) by 10, the equation can be obtained:
        -42B -42C - 
7
2
D - 
35
2
E = - 
62909
5
    (7)
, then add the two sides of equation (7) to both sides of equation (3), the equations are reduced to:
 A + B + C = 262    (1)
-60B -60C -5D -25E = -17974    (2)
-42C - 
5
2
D - 
35
2
E = - 
36544
5
    (3)
 35C + E = 3646    (4)
 E = 0    (5)

Multiply both sides of equation (3) by 5
Divide the two sides of equation (3) by 6, the equation can be obtained:
        -35C - 
25
12
D - 
175
12
E = - 
18272
3
    (8)
, then add the two sides of equation (8) to both sides of equation (4), the equations are reduced to:
 A + B + C = 262    (1)
-60B -60C -5D -25E = -17974    (2)
-42C - 
5
2
D - 
35
2
E = - 
36544
5
    (3)
- 
25
12
D - 
163
12
E = - 
7334
3
    (4)
 E = 0    (5)

Multiply both sides of equation (5) by 163
Divide both sides of equation (5) by 12, get the equation：
         
163
12
E = 0    (9)
, then add the two sides of equation (9) to both sides of equation (4), get the equation：
 A + B + C = 262    (1)
-60B -60C -5D -25E = -17974    (2)
-42C - 
5
2
D - 
35
2
E = - 
36544
5
    (3)
- 
25
12
D = - 
7334
3
    (4)
 E = 0    (5)

Multiply both sides of equation (5) by 35
Divide both sides of equation (5) by 2, get the equation：
         
35
2
E = 0    (10)
, then add the two sides of equation (10) to both sides of equation (3), get the equation：
 A + B + C = 262    (1)
-60B -60C -5D -25E = -17974    (2)
-42C - 
5
2
D = - 
36544
5
    (3)
- 
25
12
D = - 
7334
3
    (4)
 E = 0    (5)

Multiply both sides of equation (5) by 25, get the equation：
         25E = 0    (11)
, then add the two sides of equation (11) to both sides of equation (2), get the equation：
 A + B + C = 262    (1)
-60B -60C -5D = -17974    (2)
-42C - 
5
2
D = - 
36544
5
    (3)
- 
25
12
D = - 
7334
3
    (4)
 E = 0    (5)

Multiply both sides of equation (4) by 6
Divide both sides of equation (4) by 5, get the equation：
        - 
5
2
D = - 
14668
5
    (12)
, then subtract both sides of equation (12) from both sides of equation (3), get the equation：
 A + B + C = 262    (1)
-60B -60C -5D = -17974    (2)
-42C = - 
21876
5
    (3)
- 
25
12
D = - 
7334
3
    (4)
 E = 0    (5)

Multiply both sides of equation (4) by 12
Divide both sides of equation (4) by 5, get the equation：
        -5D = - 
29336
5
    (13)
, then subtract both sides of equation (13) from both sides of equation (2), get the equation：
 A + B + C = 262    (1)
-60B -60C = - 
60534
5
    (2)
-42C = - 
21876
5
    (3)
- 
25
12
D = - 
7334
3
    (4)
 E = 0    (5)

Multiply both sides of equation (3) by 10
Divide both sides of equation (3) by 7, get the equation：
        -60C = - 
43752
7
    (14)
, then subtract both sides of equation (14) from both sides of equation (2), get the equation：
 A + B + C = 262    (1)
-60B = - 
204978
35
    (2)
-42C = - 
21876
5
    (3)
 D = 
29336
25
    (4)
 E = 0    (5)

Divide both sides of equation (3) by 42, get the equation：
        -1C = - 
3646
35
    (15)
, then add the two sides of equation (15) to both sides of equation (1), get the equation：
 A + B = 
5524
35
    (1)
-60B = - 
204978
35
    (2)
-42C = - 
21876
5
    (3)
 D = 
29336
25
    (4)
 E = 0    (5)

Divide both sides of equation (2) by 60, get the equation：
        -1B = - 
34163
350
    (16)
, then add the two sides of equation (16) to both sides of equation (1), get the equation：
 A = 
3011
50
    (1)
-60B = - 
204978
35
    (2)
 C = 
3646
35
    (3)
 D = 
29336
25
    (4)
 E = 0    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = 
3011
50
    (1)
 B = 
34163
350
    (2)
 C = 
3646
35
    (3)
 D = 
29336
25
    (4)
 E = 0    (5)


Therefore, the solution of the equation set is:
A = 
3011
50
B = 
34163
350
C = 
3646
35
D = 
29336
25
E = 0


Convert the solution of the equation set to decimals:
A = 60.220000
B = 97.608571
C = 104.171429
D = 1173.440000
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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