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:
 
2441
3125
x = 
2441
3125
    (1)
 
11816
3125
y = 
2441
3125
    (2)
 
127441
3125
x + 
199316
3125
y + 
202441
3125
z = 
133691
3125
    (3)
Question solving process:

Multiply both sides of equation (1) by 127441
Divide the two sides of equation (1) by 2441, the equation can be obtained:
         
127441
3125
x = 
127441
3125
    (4)
, then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
 
2441
3125
x = 
2441
3125
    (1)
 
11816
3125
y = 
2441
3125
    (2)
 
199316
3125
y + 
202441
3125
z = 2    (3)

Multiply both sides of equation (2) by 49829
Divide the two sides of equation (2) by 2954, the equation can be obtained:
         
199316
3125
y = 
121632589
9231250
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 
2441
3125
x = 
2441
3125
    (1)
 
11816
3125
y = 
2441
3125
    (2)
 
202441
3125
z = 
103170089
9231250
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
2441
2441
    (1)
 y = 
2441
11816
    (2)
 z = 
103170089
598010714
    (3)


Therefore, the solution of the equation set is:
x = 
2441
2441
y = 
2441
11816
z = 
103170089
598010714


Convert the solution of the equation set to decimals:
x = 1.000000
y = 0.206584
z = -0.172522

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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