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:
 
397
500
x + 
51
250
y = 
1
5
    (1)
 
1
5
x + 
1
5
y = 
1
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 100
Divide the two sides of equation (1) by 397, the equation can be obtained:
         
397
1985
x + 
102
1985
y = 
20
397
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
397
500
x + 
51
250
y = 
1
5
    (1)
 
59
397
y = 
297
1985
    (2)

Multiply both sides of equation (2) by 20247
Divide both sides of equation (2) by 14750, get the equation:
         
20247
99250
y = 
15147
73750
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
397
500
x = 
397
73750
    (1)
 
59
397
y = 
297
1985
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
794
117115
    (1)
 y = 
117909
117115
    (2)


Therefore, the solution of the equation set is:
x = 
794
117115
y = 
117909
117115


Convert the solution of the equation set to decimals:
x = -0.006780
y = 1.006780

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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