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:
 
4342
5
x + 
13
25
y = 
41
20
    (1)
 
1541
20
x + 
1
20
y = 0    (2)
Question solving process:

Multiply both sides of equation (1) by 1541
Divide the two sides of equation (1) by 17368, the equation can be obtained:
         
257347
3340
x + 
1541
33400
y = 
63181
347360
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
4342
5
x + 
13
25
y = 
41
20
    (1)
 
129
33400
y = 
63181
347360
    (2)

Multiply both sides of equation (2) by 17368
Divide both sides of equation (2) by 129, get the equation:
         
2171
4175
y = 
63181
2580
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
4342
5
x = 
6847
258
    (1)
 
129
33400
y = 
63181
347360
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
205
6708
    (1)
 y = 
315905
6708
    (2)


Therefore, the solution of the equation set is:
x = 
205
6708
y = 
315905
6708


Convert the solution of the equation set to decimals:
x = 0.030561
y = -47.093769

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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