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:
 9025x + 95y + z = 100    (1)
 8649x + 93y + z = 
488
5
    (2)
 7921x + 89y + z = 
452
5
    (3)
Question solving process:

Multiply both sides of equation (1) by 8649
Divide the two sides of equation (1) by 9025, the equation can be obtained:
         8649x + 
8649
95
y + 
8649
9025
z = 
34596
361
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 9025x + 95y + z = 100    (1)
 
186
95
y + 
376
9025
z = 
3188
1805
    (2)
 7921x + 89y + z = 
452
5
    (3)

Multiply both sides of equation (1) by 7921
Divide the two sides of equation (1) by 9025, the equation can be obtained:
         7921x + 
7921
95
y + 
7921
9025
z = 
31684
361
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 9025x + 95y + z = 100    (1)
 
186
95
y + 
376
9025
z = 
3188
1805
    (2)
 
534
95
y + 
1104
9025
z = 
4752
1805
    (3)

Multiply both sides of equation (2) by 89
Divide the two sides of equation (2) by 31, the equation can be obtained:
         
534
95
y + 
33464
279775
z = 
283732
55955
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 9025x + 95y + z = 100    (1)
 
186
95
y + 
376
9025
z = 
3188
1805
    (2)
 
152
55955
z = - 
1436
589
    (3)

Multiply both sides of equation (3) by 1457
Divide both sides of equation (3) by 95, get the equation：
         
376
9025
z = - 
67492
1805
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 9025x + 95y + z = 100    (1)
 
186
95
y = 
744
19
    (2)
 
152
55955
z = - 
1436
589
    (3)

Multiply both sides of equation (3) by 55955
Divide both sides of equation (3) by 152, get the equation：
         z = - 
1795
2
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 9025x + 95y = 
1995
2
    (1)
 
186
95
y = 
744
19
    (2)
 
152
55955
z = - 
1436
589
    (3)

Multiply both sides of equation (2) by 9025
Divide both sides of equation (2) by 186, get the equation：
         95y = 1900    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 9025x = - 
1805
2
    (1)
 
186
95
y = 
744
19
    (2)
 z = - 
1795
2
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
1
10
    (1)
 y = 20    (2)
 z = - 
1795
2
    (3)


Therefore, the solution of the equation set is:
x = - 
1
10
y = 20
z = - 
1795
2


Convert the solution of the equation set to decimals:
x = -0.100000
y = 20
z = -897.500000

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。