Mathematics
         
语言:中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
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:
 
1123
10
x + 
1281
10
y = 
21
5000
    (1)
 40x + 56y = 0    (2)
Question solving process:

Multiply both sides of equation (1) by 400
Divide the two sides of equation (1) by 1123, the equation can be obtained:
         
44920
1123
x + 
51240
1123
y = 
42
28075
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
1123
10
x + 
1281
10
y = 
21
5000
    (1)
 
11648
1123
y = - 
42
28075
    (2)

Multiply both sides of equation (2) by 205509
Divide both sides of equation (2) by 16640, get the equation:
         
1438563
11230
y = - 
3843
208000
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
1123
10
x = 
23583
1040000
    (1)
 
11648
1123
y = - 
42
28075
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
23583
116792000
    (1)
 y = - 
3369
23358400
    (2)


Therefore, the solution of the equation set is:
x = 
23583
116792000
y = - 
3369
23358400


Convert the solution of the equation set to decimals:
x = 0.000202
y = -0.000144

解方程组的详细方法请参阅:《多元一次方程组的解法》