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 = 
531
50
    (1)
 
77
2
x + 86y = 
3797
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 77
Divide the two sides of equation (1) by 2, the equation can be obtained:
         
77
2
x + 
77
2
y = 
40887
100
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 x + y = 
531
50
    (1)
 
95
2
y = 
35053
100
    (2)

Multiply both sides of equation (2) by 2
Divide both sides of equation (2) by 95, get the equation:
         y = 
35053
4750
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 x = 
7696
2375
    (1)
 
95
2
y = 
35053
100
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
7696
2375
    (1)
 y = 
35053
4750
    (2)


Therefore, the solution of the equation set is:
x = 
7696
2375
y = 
35053
4750


Convert the solution of the equation set to decimals:
x = 3.240421
y = 7.379579

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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