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:
 
99
100
x + 
1
50
y = 
4518
25
    (1)
 
18
25
x + 
18
25
y = 
1093
25
    (2)
Question solving process:

Multiply both sides of equation (1) by 8
Divide the two sides of equation (1) by 11, the equation can be obtained:
         
18
25
x + 
4
275
y = 
36144
275
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
99
100
x + 
1
50
y = 
4518
25
    (1)
 
194
275
y = 
24121
275
    (2)

Multiply both sides of equation (2) by 11
Divide both sides of equation (2) by 388, get the equation:
         
1
50
y = 
24121
9700
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
99
100
x = 
355421
1940
    (1)
 
194
275
y = 
24121
275
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
161555
873
    (1)
 y = 
24121
194
    (2)


Therefore, the solution of the equation set is:
x = 
161555
873
y = 
24121
194


Convert the solution of the equation set to decimals:
x = 185.057274
y = -124.335052

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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