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:
 
9523
10000
x + 
8523
10000
y = 
977
20
    (1)
 3x -4y = 0    (2)
Question solving process:

Multiply both sides of equation (1) by 30000
Divide the two sides of equation (1) by 9523, the equation can be obtained:
         
321
107
x + 
25569
9523
y = 
1465500
9523
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
9523
10000
x + 
8523
10000
y = 
977
20
    (1)
63661
9523
y = 
1465500
9523
    (2)

Multiply both sides of equation (2) by 81164529
Divide both sides of equation (2) by 636610000, get the equation:
        
8523
10000
y = 
324401921
27246908
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
9523
10000
x = 
369040189
68117270
    (1)
63661
9523
y = 
1465500
9523
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
326998456
443566781
    (1)
 y = 
1465500
63661
    (2)


Therefore, the solution of the equation set is:
x = 
326998456
443566781
y = 
1465500
63661


Convert the solution of the equation set to decimals:
x = 0.737202
y = 23.020374

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。