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:
 
89
100
x + 
19
20
y = 
29
20
    (1)
 
209
20
x + 
389
20
y = 
9
20
    (2)
Question solving process:

Multiply both sides of equation (1) by 1045
Divide the two sides of equation (1) by 89, the equation can be obtained:
         
209
20
x + 
3971
356
y = 
6061
356
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
89
100
x + 
19
20
y = 
29
20
    (1)
 
7383
890
y = 
7376
445
    (2)

Multiply both sides of equation (2) by 1691
Divide both sides of equation (2) by 14766, get the equation:
         
2033
2140
y = 
70072
36915
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
89
100
x = 
98879
29532
    (1)
 
7383
890
y = 
7376
445
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
27775
7383
    (1)
 y = 
14752
7383
    (2)


Therefore, the solution of the equation set is:
x = 
27775
7383
y = 
14752
7383


Convert the solution of the equation set to decimals:
x = 3.762021
y = -1.998104

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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