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:
 705x + 68y = 
76171
100
    (1)
 890x + 26y = 
43739
50
    (2)
Question solving process:

Multiply both sides of equation (1) by 178
Divide the two sides of equation (1) by 141, the equation can be obtained:
         890x + 
12104
141
y = 
6779219
7050
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 705x + 68y = 
76171
100
    (1)
8438
141
y = 
61202
705
    (2)

Multiply both sides of equation (2) by 4794
Divide both sides of equation (2) by 4219, get the equation:
        
286892
4219
y = 
2080868
21095
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 705x = 
279748089
421900
    (1)
8438
141
y = 
61202
705
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
1984029
2109500
    (1)
 y = 
30601
21095
    (2)


Therefore, the solution of the equation set is:
x = 
1984029
2109500
y = 
30601
21095


Convert the solution of the equation set to decimals:
x = 0.940521
y = 1.450628

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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