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 + 
1843
1000
y = 16    (1)
 
1843
1000
x + 
46
25
y = 
346
25
    (2)
Question solving process:

Multiply both sides of equation (1) by 1843
Divide the two sides of equation (1) by 4000, the equation can be obtained:
         
1843
1000
x + 
3396649
4000000
y = 
1843
250
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 4x + 
1843
1000
y = 16    (1)
 
3963351
4000000
y = 
1617
250
    (2)

Multiply both sides of equation (2) by 7372000
Divide both sides of equation (2) by 3963351, get the equation:
         
4402927
2389000
y = 
2270576
188731
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 4x = 
749120
188731
    (1)
 
3963351
4000000
y = 
1617
250
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
187280
188731
    (1)
 y = 
1232000
188731
    (2)


Therefore, the solution of the equation set is:
x = 
187280
188731
y = 
1232000
188731


Convert the solution of the equation set to decimals:
x = 0.992312
y = 6.527809

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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