Mathematics
         
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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:
 30x + 109y = 17    (1)
 109x + 309y = 55    (2)
Question solving process:

Multiply both sides of equation (1) by 109
Divide the two sides of equation (1) by 30, the equation can be obtained:
         109x + 
11881
30
y = 
1853
30
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 30x + 109y = 17    (1)
- 
2611
30
y = - 
203
30
    (2)

Multiply both sides of equation (2) by 3270
Divide both sides of equation (2) by 2611, get the equation：
        - 
40657
373
y = - 
3161
373
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 30x = 
3180
373
    (1)
- 
2611
30
y = - 
203
30
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
106
373
    (1)
 y = 
29
373
    (2)


Therefore, the solution of the equation set is:
x = 
106
373
y = 
29
373


Convert the solution of the equation set to decimals:
x = 0.284182
y = 0.077748

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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