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:
 
24
5
x -1y = 
769
10
    (1)
239
5
x -1y = 
979
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 239
Divide the two sides of equation (1) by 24, the equation can be obtained:
         
239
5
x 
239
24
y = 
183791
240
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 
24
5
x -1y = 
769
10
    (1)
263
24
y = 
230783
240
    (2)

Multiply both sides of equation (2) by 24
Divide both sides of equation (2) by 263, get the equation:
        
263
263
y = 
230783
2630
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
24
5
x = 
14268
1315
    (1)
263
24
y = 
230783
240
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
1189
526
    (1)
 y = 
230783
2630
    (2)


Therefore, the solution of the equation set is:
x = 
1189
526
y = 
230783
2630


Convert the solution of the equation set to decimals:
x = 2.260456
y = 87.750190

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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