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:
 57536x + 16104y = 
780631
20
    (1)
 87752x + 22920y = 
5869561
100
    (2)
Question solving process:

Multiply both sides of equation (1) by 10969
Divide the two sides of equation (1) by 7192, the equation can be obtained:
         87752x + 
22080597
899
y = 
27193153
143840
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 57536x + 16104y = 
780631
20
    (1)
1475517
899
y = 
871756013
719200
    (2)

Multiply both sides of equation (2) by 4825832
Divide both sides of equation (2) by 491839, get the equation:
        
45783672
2843
y = 
832732467
49183900
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 57536x = 
7062032
491839
    (1)
1475517
899
y = 
871756013
719200
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
441377
1768653044
    (1)
 y = 
871756013
1180413600
    (2)


Therefore, the solution of the equation set is:
x = 
441377
1768653044
y = 
871756013
1180413600


Convert the solution of the equation set to decimals:
x = 0.000250
y = -0.738517

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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