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:
 
11
2
x + 
119
100
y = 
917
10
    (1)
49
10
x + 
19
10
y = 0    (2)
Question solving process:

Multiply both sides of equation (1) by 49
Divide the two sides of equation (1) by 55, the equation can be obtained:
         
49
10
x + 
5831
5500
y = 
44933
550
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 
11
2
x + 
119
100
y = 
917
10
    (1)
 
16281
5500
y = 
44933
550
    (2)

Multiply both sides of equation (2) by 6545
Divide both sides of equation (2) by 16281, get the equation:
         
119
100
y = 
5347027
162810
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
11
2
x = 
958265
16281
    (1)
 
16281
5500
y = 
44933
550
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
174230
16281
    (1)
 y = 
449330
16281
    (2)


Therefore, the solution of the equation set is:
x = 
174230
16281
y = 
449330
16281


Convert the solution of the equation set to decimals:
x = 10.701431
y = 27.598428

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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