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:
 5x + 
147
10
y = 270    (1)
 
147
10
x + 
5363
100
y = 1078    (2)
Question solving process:

Multiply both sides of equation (1) by 147
Divide the two sides of equation (1) by 50, the equation can be obtained:
         
147
10
x + 
21609
500
y = 
3969
5
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 5x + 
147
10
y = 270    (1)
 
2603
250
y = 
1421
5
    (2)

Multiply both sides of equation (2) by 3675
Divide both sides of equation (2) by 2603, get the equation:
         
20139
1370
y = 
1044435
2603
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 5x = 
341625
2603
    (1)
 
2603
250
y = 
1421
5
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
68325
2603
    (1)
 y = 
71050
2603
    (2)


Therefore, the solution of the equation set is:
x = 
68325
2603
y = 
71050
2603


Convert the solution of the equation set to decimals:
x = -26.248559
y = 27.295428

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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