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:
 2x + y = 
9
5
    (1)
 
221
500
x -1y = 
271
500
    (2)
Question solving process:

Multiply both sides of equation (1) by 221
Divide the two sides of equation (1) by 1000, the equation can be obtained:
         
221
500
x + 
221
1000
y = 
1989
5000
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 2x + y = 
9
5
    (1)
1221
1000
y = 
4699
5000
    (2)

Multiply both sides of equation (2) by 1000
Divide both sides of equation (2) by 1221, get the equation:
        -1y = 
127
165
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 2x = 
34
33
    (1)
1221
1000
y = 
4699
5000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
17
33
    (1)
 y = 
127
165
    (2)


Therefore, the solution of the equation set is:
x = 
17
33
y = 
127
165


Convert the solution of the equation set to decimals:
x = 0.515152
y = 0.769697

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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