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:
 403x + 
419
5
y = 
411
5
    (1)
 387x + 87y = 
411
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 387
Divide the two sides of equation (1) by 403, the equation can be obtained:
         387x + 
162153
2015
y = 
159057
2015
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 403x + 
419
5
y = 
411
5
    (1)
 
13152
2015
y = 
6576
2015
    (2)

Multiply both sides of equation (2) by 168857
Divide both sides of equation (2) by 13152, get the equation:
         
57403
685
y = 
57403
1370
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 403x = 
55211
1370
    (1)
 
13152
2015
y = 
6576
2015
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
137
1370
    (1)
 y = 
137
274
    (2)


Therefore, the solution of the equation set is:
x = 
137
1370
y = 
137
274


Convert the solution of the equation set to decimals:
x = 0.100000
y = 0.500000

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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