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:
 
1391
125
x -1y = 
683
20
    (1)
23
20
x -1y = 
2003
20
    (2)
Question solving process:

Multiply both sides of equation (1) by 575
Divide the two sides of equation (1) by 5564, the equation can be obtained:
         
2461
2140
x 
575
5564
y = 
78545
22256
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 
1391
125
x -1y = 
683
20
    (1)
6139
5564
y = 
10751967
111280
    (2)

Multiply both sides of equation (2) by 5564
Divide both sides of equation (2) by 6139, get the equation:
        
877
877
y = 
10751967
122780
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
1391
125
x = 
3736226
30695
    (1)
6139
5564
y = 
10751967
111280
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
67150
6139
    (1)
 y = 
10751967
122780
    (2)


Therefore, the solution of the equation set is:
x = 
67150
6139
y = 
10751967
122780


Convert the solution of the equation set to decimals:
x = 10.938264
y = 87.570997

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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