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:
 
7321
10000
x 
2321
10000
y 
12321
10000
z = 
2321
10000
    (1)
 
12321
10000
y 
2321
10000
z = 
2321
10000
    (2)
 
2321
10000
z = 
12321
10000
    (3)
Question solving process:

Add both sides of equation (3) to both sides of equation (2), get the equation:
 
7321
10000
x 
2321
10000
y 
12321
10000
z = 
2321
10000
    (1)
 
12321
10000
y = 
7321
5000
    (2)
 
2321
10000
z = 
12321
10000
    (3)

Multiply both sides of equation (3) by 12321
Divide both sides of equation (3) by 2321, get the equation:
         
12321
10000
z = 
151807041
23210000
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
7321
10000
x 
2321
10000
y = 
78597041
11605000
    (1)
 
12321
10000
y = 
7321
5000
    (2)
 
2321
10000
z = 
12321
10000
    (3)

Multiply both sides of equation (2) by 2321
Divide both sides of equation (2) by 12321, get the equation:
         
2321
10000
y = 
16992041
61605000
    (5)
, then add the two sides of equation (5) to both sides of equation (1), get the equation:
 
7321
10000
x = 
247440873
208547372
    (1)
 
12321
10000
y = 
7321
5000
    (2)
 z = 
12321
2321
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
42297292
186087247
    (1)
 y = 
14642
12321
    (2)
 z = 
12321
2321
    (3)


Therefore, the solution of the equation set is:
x = 
42297292
186087247
y = 
14642
12321
z = 
12321
2321


Convert the solution of the equation set to decimals:
x = 0.227298
y = 1.188378
z = 5.308488

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。