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:
 
34716
25
x = 9    (1)
18
25
x + z = 0    (2)
 510x -1840y = 0    (3)
Question solving process:

Multiply both sides of equation (1) by 3
Divide the two sides of equation (1) by 5786, the equation can be obtained:
         
4734
6575
x = 
27
5786
    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 
34716
25
x = 9    (1)
 z = 
27
5786
    (2)
 510x -1840y = 0    (3)

Multiply both sides of equation (1) by 2125
Divide the two sides of equation (1) by 5786, the equation can be obtained:
         
134130
263
x = 
19125
5786
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 
34716
25
x = 9    (1)
 z = 
27
5786
    (2)
483920
263
y = 
19125
5786
    (3)

交After the exchange of equation (2) and equation (3), the equation system becomes:
 
34716
25
x = 9    (1)
483920
263
y = 
19125
5786
    (2)
 z = 
27
5786
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
75
11572
    (1)
 y = 
3825
2129248
    (2)
 z = 
27
5786
    (3)


Therefore, the solution of the equation set is:
x = 
75
11572
y = 
3825
2129248
z = 
27
5786


Convert the solution of the equation set to decimals:
x = 0.006481
y = 0.001796
z = 0.004666

解方程组的详细方法请参阅:《多元一次方程组的解法》







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