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:
 5x + 
753
100
y = 
8853
500
    (1)
 
77
10
x + 
117
10
y = 
267
10
    (2)
Question solving process:

Multiply both sides of equation (1) by 77
Divide the two sides of equation (1) by 50, the equation can be obtained:
         
77
10
x + 
57981
5000
y = 
681681
25000
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 5x + 
753
100
y = 
8853
500
    (1)
 
519
5000
y = 
14181
25000
    (2)

Multiply both sides of equation (2) by 12550
Divide both sides of equation (2) by 173, get the equation:
         
130269
17300
y = 
3559431
86500
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 5x = 
10182
173
    (1)
 
519
5000
y = 
14181
25000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
10182
865
    (1)
 y = 
4727
865
    (2)


Therefore, the solution of the equation set is:
x = 
10182
865
y = 
4727
865


Convert the solution of the equation set to decimals:
x = 11.771098
y = -5.464740

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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