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:
 1149x -51y = 12    (1)
-51x + 559y = -5    (2)
Question solving process:

Multiply both sides of equation (1) by 17
Divide the two sides of equation (1) by 383, the equation can be obtained:
         
19533
383
x 
867
383
y = 
204
383
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 1149x -51y = 12    (1)
 
213230
383
y = 
1711
383
    (2)

Multiply both sides of equation (2) by 19533
Divide both sides of equation (2) by 213230, get the equation:
         
1087473
21323
y = 
87261
213230
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 1149x = 
2471499
213230
    (1)
 
213230
383
y = 
1711
383
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
2151
213230
    (1)
 y = 
1711
213230
    (2)


Therefore, the solution of the equation set is:
x = 
2151
213230
y = 
1711
213230


Convert the solution of the equation set to decimals:
x = 0.010088
y = -0.008024

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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