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:
 
111
500
x + 
4
125
y + 
629
125
z = 
103
100
    (1)
 
3
100
x + 
3
100
y + 
603
100
z = 1    (2)
 2z = 4    (3)
Question solving process:

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 37, the equation can be obtained:
         
3
100
x + 
4
925
y + 
17
25
z = 
103
740
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 
111
500
x + 
4
125
y + 
629
125
z = 
103
100
    (1)
 
19
740
y + 
107
20
z = 
637
740
    (2)
 2z = 4    (3)

Multiply both sides of equation (3) by 107
Divide both sides of equation (3) by 40, get the equation：
         
107
20
z = 
107
10
    (5)
, then subtract both sides of equation (5) from both sides of equation (2), get the equation：
 
111
500
x + 
4
125
y + 
629
125
z = 
103
100
    (1)
 
19
740
y = - 
7281
740
    (2)
 2z = 4    (3)

Multiply both sides of equation (3) by 629
Divide both sides of equation (3) by 250, get the equation：
         
629
125
z = 
1258
125
    (6)
, then subtract both sides of equation (6) from both sides of equation (1), get the equation：
 
111
500
x + 
4
125
y = - 
4517
500
    (1)
 
19
740
y = - 
7281
740
    (2)
 2z = 4    (3)

Multiply both sides of equation (2) by 592
Divide both sides of equation (2) by 475, get the equation：
         
148
4625
y = - 
29124
2375
    (7)
, then subtract both sides of equation (7) from both sides of equation (1), get the equation：
 
111
500
x = 
30673
9500
    (1)
 
19
740
y = - 
7281
740
    (2)
 z = 2    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
829
57
    (1)
 y = - 
7281
19
    (2)
 z = 2    (3)


Therefore, the solution of the equation set is:
x = 
829
57
y = - 
7281
19
z = 2


Convert the solution of the equation set to decimals:
x = 14.543860
y = -383.210526
z = 2

解方程组的详细方法请参阅：《多元一次方程组的解法》
return







  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。