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:
 324x + y = 6    (1)
 
11111
100000
x + y = 1    (2)
Question solving process:

Multiply both sides of equation (1) by 11111
Divide the two sides of equation (1) by 32400000, the equation can be obtained:
         
11111
100000
x + 
11111
32400000
y = 
11111
5400000
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 324x + y = 6    (1)
 
32388889
32400000
y = 
5388889
5400000
    (2)

Multiply both sides of equation (2) by 32400000
Divide both sides of equation (2) by 32388889, get the equation:
         y = 
32333334
32388889
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 324x = 
162000000
32388889
    (1)
 
32388889
32400000
y = 
5388889
5400000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
500000
32388889
    (1)
 y = 
32333334
32388889
    (2)


Therefore, the solution of the equation set is:
x = 
500000
32388889
y = 
32333334
32388889


Convert the solution of the equation set to decimals:
x = 0.015437
y = 0.998285

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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