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:
 
103
100
x + 
113
100
y = 
681672843
100
    (1)
 
43
100
x + 
43
100
y = 
55022743
100
    (2)
Question solving process:

Multiply both sides of equation (1) by 43
Divide the two sides of equation (1) by 103, the equation can be obtained:
         
4429
10300
x + 
4859
10300
y = 
752838823
10300
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
103
100
x + 
113
100
y = 
681672843
100
    (1)
43
1030
y = 
61953641
1030
    (2)

Multiply both sides of equation (2) by 11639
Divide both sides of equation (2) by 430, get the equation:
        
11639
10300
y = 
476078129
442900
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
103
100
x = 
60772672
110725
    (1)
43
1030
y = 
61953641
1030
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
243090688
456187
    (1)
 y = 
2086257727
4429
    (2)


Therefore, the solution of the equation set is:
x = 
243090688
456187
y = 
2086257727
4429


Convert the solution of the equation set to decimals:
x = 532.875089
y = -471044.869497

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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