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Multivariate equation
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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:
 27x + 
39
2
y = 
659
5
    (1)
 
39
2
x + 7y = - 
153
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 13
Divide the two sides of equation (1) by 18, the equation can be obtained:
         
39
2
x + 
169
12
y = 
8567
90
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 27x + 
39
2
y = 
659
5
    (1)
- 
85
12
y = - 
11321
90
    (2)

Multiply both sides of equation (2) by 234
Divide both sides of equation (2) by 85, get the equation：
        - 
39
2
y = - 
147173
425
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 27x = - 
91158
425
    (1)
- 
85
12
y = - 
11321
90
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
30386
3825
    (1)
 y = 
22642
1275
    (2)


Therefore, the solution of the equation set is:
x = - 
30386
3825
y = 
22642
1275


Convert the solution of the equation set to decimals:
x = -7.944052
y = 17.758431

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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