Mathematics
         
语言:中文    Language:English
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:
 8A = 
11
5
    (1)
 2A + 
33
4
B = 
127
50
    (2)
 B + 
377
50
C = 
427
50
    (3)
 2C + 
427
50
D = 
427
50
    (4)
 D + 
377
50
E = 
9
2
    (5)
Question solving process:

Divide the two sides of equation (1) by 4, the equation can be obtained:
         2A = 
11
20
    (6)
, then subtract both sides of equation (6) from both sides of equation (2), the equations are reduced to:
 8A = 
11
5
    (1)
 
33
4
B = 
309
100
    (2)
 B + 
377
50
C = 
427
50
    (3)
 2C + 
427
50
D = 
427
50
    (4)
 D + 
377
50
E = 
9
2
    (5)

Multiply both sides of equation (2) by 4
Divide the two sides of equation (2) by 33, the equation can be obtained:
         B = 
103
275
    (7)
, then subtract both sides of equation (7) from both sides of equation (3), the equations are reduced to:
 8A = 
11
5
    (1)
 
33
4
B = 
309
100
    (2)
 
377
50
C = 
4903
550
    (3)
 2C + 
427
50
D = 
427
50
    (4)
 D + 
377
50
E = 
9
2
    (5)

Multiply both sides of equation (3) by 100
Divide the two sides of equation (3) by 377, the equation can be obtained:
         2C = 
9806
4147
    (8)
, then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
 8A = 
11
5
    (1)
 
33
4
B = 
309
100
    (2)
 
377
50
C = 
4903
550
    (3)
 
427
50
D = 
1280469
207350
    (4)
 D + 
377
50
E = 
9
2
    (5)

Multiply both sides of equation (4) by 50
Divide the two sides of equation (4) by 427, the equation can be obtained:
         D = 
1280469
1770769
    (9)
, then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
 8A = 
11
5
    (1)
 
33
4
B = 
309
100
    (2)
 
377
50
C = 
4903
550
    (3)
 
427
50
D = 
1280469
207350
    (4)
 
22997
3050
E = 
18497859
3541538
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 A = 
11
40
    (1)
 B = 
103
275
    (2)
 C = 
4903
4147
    (3)
 D = 
1280469
1770769
    (4)
 E = 
1855536097
2067669029
    (5)


Therefore, the solution of the equation set is:
A = 
11
40
B = 
103
275
C = 
4903
4147
D = 
1280469
1770769
E = 
1855536097
2067669029
           ☆7 calculations of prime factor

[1/7 Digtal analysis]
    Work:Break 719 into prime factors.
    Question type: Resolving prime factor
    Solution:
        719=719

    *Note: 719 is a prime number.
[2/7 Digtal analysis]
    Work:Break 709 into prime factors.
    Question type: Resolving prime factor
    Solution:
        709=709

    *Note: 709 is a prime number.
[3/7 Digtal analysis]
 တ


Convert the solution of the equation set to decimals:
A = 0.275000
B = -0.374545
C = 1.182300
D = 0.723115
E = -0.897405

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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