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:
 
271
10
x 
5
2
y = 0    (1)
 
87
10
x + 
25
2
y = 14    (2)
 
104
5
x + 8y -1z = 14    (3)
Question solving process:

Multiply both sides of equation (1) by 87
Divide the two sides of equation (1) by 271, the equation can be obtained:
         
23577
2710
x 
435
542
y = 0    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 
271
10
x 
5
2
y = 0    (1)
 
3605
271
y = 
3794
271
    (2)
 
104
5
x + 8y -1z = 14    (3)

Multiply both sides of equation (1) by 208
Divide the two sides of equation (1) by 271, the equation can be obtained:
         
28184
1355
x 
520
271
y = 0    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 
271
10
x 
5
2
y = 0    (1)
 
3605
271
y = 
3794
271
    (2)
 
2688
271
y 
271
271
z = 
3794
271
    (3)

Multiply both sides of equation (2) by 104064
Divide the two sides of equation (2) by 139565, the equation can be obtained:
         
2688
271
y = 
5376
515
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 
271
10
x 
5
2
y = 0    (1)
 
3605
271
y = 
3794
271
    (2)
553286191
553286191
z = 
1834
515
    (3)

Multiply both sides of equation (2) by 271
Divide both sides of equation (2) by 1442, get the equation:
         
1355
542
y = 
73441
27913
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation:
 
271
10
x = 
73441
27913
    (1)
 
3605
271
y = 
3794
271
    (2)
 z = 
1114592438
1474546829
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
2710
27913
    (1)
 y = 
542
515
    (2)
 z = 
1114592438
1474546829
    (3)


Therefore, the solution of the equation set is:
x = 
2710
27913
y = 
542
515
z = 
1114592438
1474546829
 313x + 429y = 135336    (1)
 x + y = 165    (2)

Question solving process(leaved out):


The solution of the equation set is:
x = -556.474138
y = 721.474138

解方程组的详细方法请参阅:《多元一次方程组的解法》


Convert the solution of the equation set to decimals:
x = 0.097087
y = 1.052427
z = -0.755888

解方程组的详细方法请参阅:《多元一次方程组的解法》






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