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:
 4x + 
31781
10000
y = 
72
5
    (1)
 
17
5
x + 
17
5
y = 
62
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 17
Divide the two sides of equation (1) by 20, the equation can be obtained:
         
17
5
x + 
540277
200000
y = 
306
25
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 4x + 
31781
10000
y = 
72
5
    (1)
 
139723
200000
y = 
4
25
    (2)

Multiply both sides of equation (2) by 635620
Divide both sides of equation (2) by 139723, get the equation:
         
31781
10000
y = 
508496
698615
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 4x = 
1910312
139723
    (1)
 
139723
200000
y = 
4
25
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
477578
139723
    (1)
 y = 
32000
139723
    (2)


Therefore, the solution of the equation set is:
x = 
477578
139723
y = 
32000
139723


Convert the solution of the equation set to decimals:
x = 3.418034
y = 0.229025

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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