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:
 
773
10
x + y = 
147
2
    (1)
 
496
5
x + y = 
479
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 992
Divide the two sides of equation (1) by 773, the equation can be obtained:
         
383408
3865
x + 
992
773
y = 
72912
773
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
773
10
x + y = 
147
2
    (1)
219
773
y = 
5707
3865
    (2)

Multiply both sides of equation (2) by 773
Divide both sides of equation (2) by 219, get the equation:
        
773
773
y = 
5707
1095
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
773
10
x = 
172379
2190
    (1)
219
773
y = 
5707
3865
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
172379
169287
    (1)
 y = 
5707
1095
    (2)


Therefore, the solution of the equation set is:
x = 
172379
169287
y = 
5707
1095


Convert the solution of the equation set to decimals:
x = 1.018265
y = -5.211872

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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