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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:
 
89
100
x + 
509
50
y = 
17
25
    (1)
 
17
25
x + 
492
25
y = 
42
25
    (2)
Question solving process:

Multiply both sides of equation (1) by 68
Divide the two sides of equation (1) by 89, the equation can be obtained:
         
17
25
x + 
17306
2225
y = 
1156
2225
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
89
100
x + 
509
50
y = 
17
25
    (1)
 
26482
2225
y = 
2582
2225
    (2)

Multiply both sides of equation (2) by 45301
Divide both sides of equation (2) by 52964, get the equation：
         
6739669
662050
y = 
657119
662050
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation：
 
89
100
x = - 
8277
26482
    (1)
 
26482
2225
y = 
2582
2225
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
4650
13241
    (1)
 y = 
1291
13241
    (2)


Therefore, the solution of the equation set is:
x = - 
4650
13241
y = 
1291
13241


Convert the solution of the equation set to decimals:
x = -0.351182
y = 0.097500

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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