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:
 
156
5
x + 
1971
50
y = 15446    (1)
 
161
5
x + 
262
5
y = 18076    (2)
Question solving process:

Multiply both sides of equation (1) by 161
Divide the two sides of equation (1) by 156, the equation can be obtained:
         
161
5
x + 
105777
2600
y = 
1243403
78
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
156
5
x + 
1971
50
y = 15446    (1)
 
30463
2600
y = 
166525
78
    (2)

Multiply both sides of equation (2) by 102492
Divide both sides of equation (2) by 30463, get the equation:
         
1464453
37150
y = 
218813850
30463
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
156
5
x = 
251717648
30463
    (1)
 
30463
2600
y = 
166525
78
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
24203620
91389
    (1)
 y = 
16652500
91389
    (2)


Therefore, the solution of the equation set is:
x = 
24203620
91389
y = 
16652500
91389


Convert the solution of the equation set to decimals:
x = 264.841721
y = 182.215584

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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