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:
 15x + 
135
2
y = 
793
10
    (1)
 
135
2
x + 
1495
4
y = 
1699
4
    (2)
Question solving process:

Multiply both sides of equation (1) by 9
Divide the two sides of equation (1) by 2, the equation can be obtained:
         
135
2
x + 
1215
4
y = 
7137
20
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 15x + 
135
2
y = 
793
10
    (1)
 70y = 
679
10
    (2)

Multiply both sides of equation (2) by 27
Divide both sides of equation (2) by 28, get the equation:
         
135
2
y = 
2619
40
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 15x = 
553
40
    (1)
 70y = 
679
10
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
553
600
    (1)
 y = 
97
100
    (2)


Therefore, the solution of the equation set is:
x = 
553
600
y = 
97
100


Convert the solution of the equation set to decimals:
x = 0.921667
y = 0.970000

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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