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:
 400x + 431y = 
2062
5
    (1)
 362x + 436y = 
1958
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 181
Divide the two sides of equation (1) by 200, the equation can be obtained:
         362x + 
78011
200
y = 
186611
500
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 400x + 431y = 
2062
5
    (1)
 
9189
200
y = 
9189
500
    (2)

Multiply both sides of equation (2) by 86200
Divide both sides of equation (2) by 9189, get the equation:
         
440051
1021
y = 
880102
5105
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 400x = 
245040
1021
    (1)
 
9189
200
y = 
9189
500
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
3063
5105
    (1)
 y = 
2042
5105
    (2)


Therefore, the solution of the equation set is:
x = 
3063
5105
y = 
2042
5105


Convert the solution of the equation set to decimals:
x = 0.600000
y = 0.400000

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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