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:
 56x + 64y = 
277
20
    (1)
 107x + 98y = 
127
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 107
Divide the two sides of equation (1) by 56, the equation can be obtained:
         107x + 
856
7
y = 
29639
1120
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 56x + 64y = 
277
20
    (1)
- 
170
7
y = - 
1191
1120
    (2)

Multiply both sides of equation (2) by 224
Divide both sides of equation (2) by 85, get the equation：
        -64y = - 
1191
425
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 56x = 
18781
1700
    (1)
- 
170
7
y = - 
1191
1120
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
2683
13600
    (1)
 y = 
1191
27200
    (2)


Therefore, the solution of the equation set is:
x = 
2683
13600
y = 
1191
27200


Convert the solution of the equation set to decimals:
x = 0.197279
y = 0.043787

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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