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:
 17x + 185y = 
108
5
    (1)
 5x + 34y = 
583
10
    (2)
Question solving process:

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 17, the equation can be obtained:
         5x + 
925
17
y = 
108
17
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 17x + 185y = 
108
5
    (1)
347
17
y = 
8831
170
    (2)

Multiply both sides of equation (2) by 3145
Divide both sides of equation (2) by 347, get the equation:
        
64195
347
y = 
326747
694
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 17x = 
1708687
3470
    (1)
347
17
y = 
8831
170
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
100511
3470
    (1)
 y = 
8831
3470
    (2)


Therefore, the solution of the equation set is:
x = 
100511
3470
y = 
8831
3470


Convert the solution of the equation set to decimals:
x = 28.965706
y = -2.544957

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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