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 + 
1589
500
y = 
72
5
    (1)
 
31
10
x + 
31
10
y = 
121
10
    (2)
Question solving process:

Multiply both sides of equation (1) by 31
Divide the two sides of equation (1) by 40, the equation can be obtained:
         
31
10
x + 
49259
20000
y = 
279
25
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 4x + 
1589
500
y = 
72
5
    (1)
 
12741
20000
y = 
47
50
    (2)

Multiply both sides of equation (2) by 63560
Divide both sides of equation (2) by 12741, get the equation:
         
1589
500
y = 
298732
63705
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 4x = 
123724
12741
    (1)
 
12741
20000
y = 
47
50
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
30931
12741
    (1)
 y = 
18800
12741
    (2)


Therefore, the solution of the equation set is:
x = 
30931
12741
y = 
18800
12741


Convert the solution of the equation set to decimals:
x = 2.427674
y = 1.475551

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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