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:
 
19
20
x + 
43
50
y = 
2413
50
    (1)
 4x -3y = 0    (2)
Question solving process:

Multiply both sides of equation (1) by 80
Divide the two sides of equation (1) by 19, the equation can be obtained:
         4x + 
344
95
y = 
1016
5
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
19
20
x + 
43
50
y = 
2413
50
    (1)
629
95
y = 
1016
5
    (2)

Multiply both sides of equation (2) by 817
Divide both sides of equation (2) by 6290, get the equation:
        
43
50
y = 
415036
15725
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
19
20
x = 
137541
6290
    (1)
629
95
y = 
1016
5
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
14478
629
    (1)
 y = 
19304
629
    (2)


Therefore, the solution of the equation set is:
x = 
14478
629
y = 
19304
629


Convert the solution of the equation set to decimals:
x = 23.017488
y = 30.689984

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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