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:
 5x + 
753
100
y = 
3496
125
    (1)
 
199
25
x + 
299
25
y = 
2324
25
    (2)
Question solving process:

Multiply both sides of equation (1) by 199
Divide the two sides of equation (1) by 125, the equation can be obtained:
         
199
25
x + 
149847
12500
y = 
695704
15625
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 5x + 
753
100
y = 
3496
125
    (1)
347
12500
y = 
756796
15625
    (2)

Multiply both sides of equation (2) by 94125
Divide both sides of equation (2) by 347, get the equation:
        
261291
34700
y = 
569867388
43375
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 5x = 
4568644
347
    (1)
347
12500
y = 
756796
15625
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
4568644
1735
    (1)
 y = 
3027184
1735
    (2)


Therefore, the solution of the equation set is:
x = 
4568644
1735
y = 
3027184
1735


Convert the solution of the equation set to decimals:
x = 2633.224207
y = -1744.774640

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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