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 
109
100
y = 3522045    (1)
 
9
100
x 
9
100
y = 428675    (2)
Question solving process:

Multiply both sides of equation (1) by 9
Divide the two sides of equation (1) by 103, the equation can be obtained:
         
927
10300
x 
981
10300
y = 
31698405
103
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
103
100
x 
109
100
y = 3522045    (1)
 
27
5150
y = 
12455120
103
    (2)

Multiply both sides of equation (2) by 11227
Divide both sides of equation (2) by 54, get the equation:
         
11227
10300
y = 
399113128
927
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
103
100
x = 
210306151
309
    (1)
 
27
5150
y = 
12455120
103
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
444221380
31827
    (1)
 y = 
280641440
2781
    (2)


Therefore, the solution of the equation set is:
x = 
444221380
31827
y = 
280641440
2781


Convert the solution of the equation set to decimals:
x = 13957.375185
y = 100913.858324

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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