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:
 
1009
400
x + 
49
400
y = 
61
500
    (1)
 
561
500
x + 
61
500
y = 
61
500
    (2)
Question solving process:

Multiply both sides of equation (1) by 2244
Divide the two sides of equation (1) by 5045, the equation can be obtained:
         
566049
504500
x + 
27489
504500
y = 
34221
630625
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
1009
400
x + 
49
400
y = 
61
500
    (1)
 
1703
25225
y = 
170861
2522500
    (2)

Multiply both sides of equation (2) by 49441
Divide both sides of equation (2) by 27248, get the equation:
         
49441
403600
y = 
142395891
13603264
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
1009
400
x = 
82433483
340081600
    (1)
 
1703
25225
y = 
170861
2522500
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
82433483
857855836
    (1)
 y = 
170861
170300
    (2)


Therefore, the solution of the equation set is:
x = 
82433483
857855836
y = 
170861
170300


Convert the solution of the equation set to decimals:
x = -0.096092
y = 1.003294

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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