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:
 
111
500
x + 
14
125
y = 0    (1)
 
14
125
x + 
14
125
y = 
14
125
    (2)
Question solving process:

Multiply both sides of equation (1) by 56
Divide the two sides of equation (1) by 111, the equation can be obtained:
         
14
125
x + 
784
13875
y = 0    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
111
500
x + 
14
125
y = 0    (1)
 
154
2775
y = 
518
4625
    (2)

Multiply both sides of equation (2) by 111
Divide both sides of equation (2) by 55, get the equation:
         
14
125
y = 
1554
6875
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
111
500
x = 
1554
6875
    (1)
 
154
2775
y = 
518
4625
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
56
55
    (1)
 y = 
111
55
    (2)


Therefore, the solution of the equation set is:
x = 
56
55
y = 
111
55


Convert the solution of the equation set to decimals:
x = -1.018182
y = 2.018182

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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