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:
1111
2
x + y = 
207
10
    (1)
666
5
x + y = 
219
10
    (2)
Question solving process:

Multiply both sides of equation (1) by 1332
Divide the two sides of equation (1) by 5555, the equation can be obtained:
        
67266
505
x + 
1332
5555
y = 
137862
27775
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
1111
2
x + y = 
207
10
    (1)
 
4223
5555
y = 
940821
55550
    (2)

Multiply both sides of equation (2) by 5555
Divide both sides of equation (2) by 4223, get the equation:
         y = 
940821
42230
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
1111
2
x = 
6666
4223
    (1)
 
4223
5555
y = 
940821
55550
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
1212
426523
    (1)
 y = 
940821
42230
    (2)


Therefore, the solution of the equation set is:
x = 
1212
426523
y = 
940821
42230


Convert the solution of the equation set to decimals:
x = 0.002842
y = 22.278499

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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