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:
 385x + 475y = 
6329
25
    (1)
 330x + 2000y = 
2898
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 6
Divide the two sides of equation (1) by 7, the equation can be obtained:
         330x + 
2850
7
y = 
37974
175
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 385x + 475y = 
6329
25
    (1)
 
11150
7
y = 
63456
175
    (2)

Multiply both sides of equation (2) by 133
Divide both sides of equation (2) by 446, get the equation:
         
105925
223
y = 
602832
5575
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 385x = 
161707
1115
    (1)
 
11150
7
y = 
63456
175
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
23101
61325
    (1)
 y = 
31728
139375
    (2)


Therefore, the solution of the equation set is:
x = 
23101
61325
y = 
31728
139375


Convert the solution of the equation set to decimals:
x = 0.376698
y = 0.227645

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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