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:
 9x + 603y = 
3023
5
    (1)
 603x + 40569y = 
405849
10
    (2)
Question solving process:

Multiply both sides of equation (1) by 67, the equation can be obtained:
         603x + 40401y = 
202541
5
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 9x + 603y = 
3023
5
    (1)
 168y = 
767
10
    (2)

Multiply both sides of equation (2) by 201
Divide both sides of equation (2) by 56, get the equation:
         603y = 
154167
560
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 9x = 
184409
560
    (1)
 168y = 
767
10
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
184409
5040
    (1)
 y = 
767
1680
    (2)


Therefore, the solution of the equation set is:
x = 
184409
5040
y = 
767
1680


Convert the solution of the equation set to decimals:
x = 36.589087
y = 0.456548

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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