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                                Multivariate equation
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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:
 
803
5
x + 
803
5
y = 
4821
10
    (1)
 
2409
10
x + 
4817
10
y = 
8957
10
    (2)
Question solving process:

Multiply both sides of equation (1) by 3
Divide the two sides of equation (1) by 2, the equation can be obtained:
         
2409
10
x + 
2409
10
y = 
14463
20
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
803
5
x + 
803
5
y = 
4821
10
    (1)
 
1204
5
y = 
3451
20
    (2)

Multiply both sides of equation (2) by 803
Divide both sides of equation (2) by 1204, get the equation:
         
803
5
y = 
395879
3440
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
803
5
x = 
252509
688
    (1)
 
1204
5
y = 
3451
20
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
1262545
552464
    (1)
 y = 
493
688
    (2)


Therefore, the solution of the equation set is:
x = 
1262545
552464
y = 
493
688


Convert the solution of the equation set to decimals:
x = 2.285298
y = 0.716570

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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