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 = 0    (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 = 
31698405
103
    (2)

Multiply both sides of equation (2) by 11227
Divide both sides of equation (2) by 54, get the equation:
         
11227
10300
y = 
295764517
206
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
103
100
x = 
429776753
206
    (1)
 
27
5150
y = 
31698405
103
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
14001170
10609
    (1)
 y = 
1751209954
103
    (2)


Therefore, the solution of the equation set is:
x = 
14001170
10609
y = 
1751209954
103


Convert the solution of the equation set to decimals:
x = 1319.744557
y = -17002038.388350

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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