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:
 8x + 
763
50
y = 
144227
1000
    (1)
 
761
50
x + 
1511
50
y = 
14161
50
    (2)
Question solving process:

Multiply both sides of equation (1) by 761
Divide the two sides of equation (1) by 400, the equation can be obtained:
         
761
50
x + 
580643
20000
y = 
109756747
400000
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 8x + 
763
50
y = 
144227
1000
    (1)
 
23757
20000
y = 
3531253
400000
    (2)

Multiply both sides of equation (2) by 305200
Divide both sides of equation (2) by 23757, get the equation:
         
6042197
395950
y = 
533540419
7919000
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 8x = 
304296597
3959500
    (1)
 
23757
20000
y = 
3531253
400000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
304296597
31676000
    (1)
 y = 
3531253
475140
    (2)


Therefore, the solution of the equation set is:
x = 
304296597
31676000
y = 
3531253
475140


Convert the solution of the equation set to decimals:
x = 9.606535
y = 7.432026

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。