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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:
 12x + 41y + 52z = 132    (1)
 23x + 12y + 32z = 113    (2)
 76x + 37y + 15z = 176    (3)
Question solving process:

Multiply both sides of equation (1) by 23
Divide the two sides of equation (1) by 12, the equation can be obtained:
         23x + 
943
12
y + 
299
3
z = 253    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 12x + 41y + 52z = 132    (1)
- 
799
12
y - 
203
3
z = -140    (2)
 76x + 37y + 15z = 176    (3)

Multiply both sides of equation (1) by 19
Divide the two sides of equation (1) by 3, the equation can be obtained:
         76x + 
779
3
y + 
988
3
z = 836    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 12x + 41y + 52z = 132    (1)
- 
799
12
y - 
203
3
z = -140    (2)
- 
668
3
y - 
943
3
z = -660    (3)

Multiply both sides of equation (2) by 2672
Divide the two sides of equation (2) by 799, the equation can be obtained:
        - 
668
3
y - 
542416
2397
z = - 
374080
799
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 12x + 41y + 52z = 132    (1)
- 
799
12
y - 
203
3
z = -140    (2)
- 
70347
799
z = - 
153260
799
    (3)

Multiply both sides of equation (3) by 162197
Divide both sides of equation (3) by 211041, get the equation：
        - 
36337
537
z = - 
31111780
211041
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 12x + 41y + 52z = 132    (1)
- 
799
12
y = 
1566040
211041
    (2)
- 
70347
799
z = - 
153260
799
    (3)

Multiply both sides of equation (3) by 41548
Divide both sides of equation (3) by 70347, get the equation：
        - 
9308
179
z = - 
7969520
70347
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 12x + 41y = 
1316284
70347
    (1)
- 
799
12
y = 
1566040
211041
    (2)
- 
70347
799
z = - 
153260
799
    (3)

Multiply both sides of equation (2) by 492
Divide both sides of equation (2) by 799, get the equation：
        -41y = 
321440
70347
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 12x = 
545908
23449
    (1)
- 
799
12
y = 
1566040
211041
    (2)
 z = 
153260
70347
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
136477
70347
    (1)
 y = - 
7840
70347
    (2)
 z = 
153260
70347
    (3)


Therefore, the solution of the equation set is:
x = 
136477
70347
y = - 
7840
70347
z = 
153260
70347


Convert the solution of the equation set to decimals:
x = 1.940054
y = -0.111448
z = 2.178629

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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