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:
 11x 
30199
50000
y = 
136039
10000
    (1)
6039
10000
x + 
6039
10000
y = 
6039
10000
    (2)
Question solving process:

Multiply both sides of equation (1) by 549
Divide the two sides of equation (1) by 10000, the equation can be obtained:
         
6039
10000
x 
16579251
500000000
y = 
74685411
100000000
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 11x 
30199
50000
y = 
136039
10000
    (1)
 
285370749
500000000
y = 
14295411
100000000
    (2)

Multiply both sides of equation (2) by 301990000
Divide both sides of equation (2) by 285370749, get the equation:
         
937522837
73415408
y = 
786351761
903042704
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 11x + 
33554432
111867707
y = 
31637764
110060889
    (1)
 
285370749
500000000
y = 
14295411
100000000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x + 
33554432
1230544777
y = 
31637764
1210669779
    (1)
 y = 
130195
519801
    (2)


Therefore, the solution of the equation set is:
x = 
31637764
1210669779
y = 
130195
519801


Convert the solution of the equation set to decimals:
x = 0.026132
y = 0.250471

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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