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:
 
1772
5
x 
4
5
y = 
98
5
    (1)
267
10
x + 
4161
10
y = 
8181
10
    (2)
Question solving process:

Multiply both sides of equation (1) by 267
Divide the two sides of equation (1) by 3544, the equation can be obtained:
         
118281
4430
x 
267
4430
y = 
13083
8860
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 
1772
5
x 
4
5
y = 
98
5
    (1)
 
921528
2215
y = 
7261449
8860
    (2)

Multiply both sides of equation (2) by 443
Divide both sides of equation (2) by 230382, get the equation:
         
51196
63995
y = 
2420483
1535880
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
1772
5
x = 
32523731
1535880
    (1)
 
921528
2215
y = 
7261449
8860
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
73417
1228704
    (1)
 y = 
2420483
1228704
    (2)


Therefore, the solution of the equation set is:
x = 
73417
1228704
y = 
2420483
1228704


Convert the solution of the equation set to decimals:
x = 0.059752
y = 1.969948

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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