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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:
 
181
2
x + 
8467
100
y = 87    (1)
 87x + 83y = 84    (2)
Question solving process:

Multiply both sides of equation (1) by 174
Divide the two sides of equation (1) by 181, the equation can be obtained:
         
15747
181
x + 
736629
9050
y = 
15138
181
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
181
2
x + 
8467
100
y = 87    (1)
 
14521
9050
y = 
66
181
    (2)

Multiply both sides of equation (2) by 1532527
Divide both sides of equation (2) by 29042, get the equation:
         
9457639
111700
y = 
279411
14521
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
181
2
x = 
983916
14521
    (1)
 
14521
9050
y = 
66
181
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
10872
14521
    (1)
 y = 
3300
14521
    (2)


Therefore, the solution of the equation set is:
x = 
10872
14521
y = 
3300
14521


Convert the solution of the equation set to decimals:
x = 0.748709
y = 0.227257

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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