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:
 4x + 
183
25
y = 
8797
125
    (1)
 
737
100
x + 
1337
100
y = 
13237
100
    (2)
Question solving process:

Multiply both sides of equation (1) by 737
Divide the two sides of equation (1) by 400, the equation can be obtained:
         
737
100
x + 
134871
10000
y = 
6483389
50000
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 4x + 
183
25
y = 
8797
125
    (1)
1171
10000
y = 
135111
50000
    (2)

Multiply both sides of equation (2) by 73200
Divide both sides of equation (2) by 1171, get the equation:
        
214293
29275
y = 
24725313
146375
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 4x = 
1401064
5855
    (1)
1171
10000
y = 
135111
50000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
350266
5855
    (1)
 y = 
135111
5855
    (2)


Therefore, the solution of the equation set is:
x = 
350266
5855
y = 
135111
5855


Convert the solution of the equation set to decimals:
x = 59.823399
y = -23.076174

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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