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:
 
1121
10
x + 
259
2
y = 
2253
10
    (1)
 
259
2
x + 
469
2
y = 
663
2
    (2)
Question solving process:

Multiply both sides of equation (1) by 1295
Divide the two sides of equation (1) by 1121, the equation can be obtained:
         
259
2
x + 
335405
2242
y = 
583527
2242
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
1121
10
x + 
259
2
y = 
2253
10
    (1)
 
95172
1121
y = 
79848
1121
    (2)

Multiply both sides of equation (2) by 41477
Divide both sides of equation (2) by 27192, get the equation:
         
26677
206
y = 
123099
1133
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
1121
10
x = 
1321659
11330
    (1)
 
95172
1121
y = 
79848
1121
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
1179
1133
    (1)
 y = 
6654
7931
    (2)


Therefore, the solution of the equation set is:
x = 
1179
1133
y = 
6654
7931


Convert the solution of the equation set to decimals:
x = 1.040600
y = 0.838986

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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