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:
 
113
100
x + 
109
100
y = 
29658159
100
    (1)
 x + y = 
26653259
100
    (2)
Question solving process:

Multiply both sides of equation (1) by 100
Divide the two sides of equation (1) by 113, the equation can be obtained:
         x + 
109
113
y = 
29658159
113
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
113
100
x + 
109
100
y = 
29658159
100
    (1)
 
4
113
y = 
46002367
11300
    (2)

Multiply both sides of equation (2) by 12317
Divide both sides of equation (2) by 400, get the equation:
         
12317
11300
y = 
324528733
4520000
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
113
100
x = 
38892343
904000
    (1)
 
4
113
y = 
46002367
11300
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
38892343
1021520
    (1)
 y = 
36132007
1808
    (2)


Therefore, the solution of the equation set is:
x = 
38892343
1021520
y = 
36132007
1808


Convert the solution of the equation set to decimals:
x = 38.073012
y = 19984.517146

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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