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:
 785x + 68y = 
76171
100
    (1)
 890x + 26y = 
43739
50
    (2)
Question solving process:

Multiply both sides of equation (1) by 178
Divide the two sides of equation (1) by 157, the equation can be obtained:
         
139730
157
x + 
12104
157
y = 
6779219
7850
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 785x + 68y = 
76171
100
    (1)
8022
157
y = 
43902
3925
    (2)

Multiply both sides of equation (2) by 5338
Divide both sides of equation (2) by 4011, get the equation:
        
12988
191
y = 
497556
33425
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 785x = 
103830851
133700
    (1)
8022
157
y = 
43902
3925
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
661343
668500
    (1)
 y = 
7317
33425
    (2)


Therefore, the solution of the equation set is:
x = 
661343
668500
y = 
7317
33425


Convert the solution of the equation set to decimals:
x = 0.989294
y = -0.218908

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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