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:
 890x + 566y = 
2629
10
    (1)
 x + 2y = 
1
2
    (2)
Question solving process:

Divide the two sides of equation (1) by 890, the equation can be obtained:
         x + 
283
445
y = 
2629
8900
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 890x + 566y = 
2629
10
    (1)
 
607
445
y = 
1821
8900
    (2)

Multiply both sides of equation (2) by 251870
Divide both sides of equation (2) by 607, get the equation:
         
343562
607
y = 
515343
6070
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 890x = 
108046
607
    (1)
 
607
445
y = 
1821
8900
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
607
3035
    (1)
 y = 
1821
12140
    (2)


Therefore, the solution of the equation set is:
x = 
607
3035
y = 
1821
12140


Convert the solution of the equation set to decimals:
x = 0.200000
y = 0.150000

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。