Mathematics
         
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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:
 
159
80
x + 
3
16
y = 
187
1000
    (1)
 
187
1000
x + 
187
1000
y = 
187
1000
    (2)
Question solving process:

Multiply both sides of equation (1) by 374
Divide the two sides of equation (1) by 3975, the equation can be obtained:
         
187
1000
x + 
187
10600
y = 
34969
1987500
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
159
80
x + 
3
16
y = 
187
1000
    (1)
 
1122
6625
y = 
673387
3975000
    (2)

Multiply both sides of equation (2) by 6625
Divide both sides of equation (2) by 5984, get the equation：
         
3
16
y = 
3601
19200
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation：
 
159
80
x = - 
53
96000
    (1)
 
1122
6625
y = 
673387
3975000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
1
3600
    (1)
 y = 
3601
3600
    (2)


Therefore, the solution of the equation set is:
x = - 
1
3600
y = 
3601
3600


Convert the solution of the equation set to decimals:
x = -0.000278
y = 1.000278

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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