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:
 
19
5
x -40y = 
1599
50
    (1)
 
81
10
x -5y = 
371
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 81
Divide the two sides of equation (1) by 38, the equation can be obtained:
         
81
10
x 
1620
19
y = 
129519
1900
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
19
5
x -40y = 
1599
50
    (1)
 
1525
19
y = 
11461
1900
    (2)

Multiply both sides of equation (2) by 152
Divide both sides of equation (2) by 305, get the equation:
         40y = 
22922
7625
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
19
5
x = 
533539
15250
    (1)
 
1525
19
y = 
11461
1900
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
28081
3050
    (1)
 y = 
11461
152500
    (2)


Therefore, the solution of the equation set is:
x = 
28081
3050
y = 
11461
152500


Convert the solution of the equation set to decimals:
x = 9.206885
y = 0.075154

解方程组的详细方法请参阅:《多元一次方程组的解法》







  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。