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:
 x + y = 
25298743
100
    (1)
 
13
100
x + 
3
100
y = 
2858503
100
    (2)
Question solving process:

Multiply both sides of equation (1) by 13
Divide the two sides of equation (1) by 100, the equation can be obtained:
         
13
100
x + 
13
100
y = 
328883659
10000
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 x + y = 
25298743
100
    (1)
1
10
y = 
43033359
10000
    (2)

Multiply both sides of equation (2) by 10, get the equation:
        -1y = 
43033359
1000
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 x = 
209954071
1000
    (1)
1
10
y = 
43033359
10000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
209954071
1000
    (1)
 y = 
43033359
1000
    (2)


Therefore, the solution of the equation set is:
x = 
209954071
1000
y = 
43033359
1000


Convert the solution of the equation set to decimals:
x = 209954.071000
y = 43033.359000

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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