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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:
 13x -2y -2z = 1300    (1)
-9x + 76y -9z = 1600    (2)
 x + y -3z = -270    (3)
Question solving process:

Multiply both sides of equation (1) by 9
Divide the two sides of equation (1) by 13, the equation can be obtained:
         9x - 
18
13
y - 
18
13
z = 900    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 13x -2y -2z = 1300    (1)
 
970
13
y - 
135
13
z = 2500    (2)
 x + y -3z = -270    (3)

Divide the two sides of equation (1) by 13, the equation can be obtained:
         x - 
2
13
y - 
2
13
z = 100    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 13x -2y -2z = 1300    (1)
 
970
13
y - 
135
13
z = 2500    (2)
 
15
13
y - 
37
13
z = -370    (3)

Multiply both sides of equation (2) by 3
Divide the two sides of equation (2) by 194, the equation can be obtained:
         
15
13
y - 
405
2522
z = 
3750
97
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 13x -2y -2z = 1300    (1)
 
970
13
y - 
135
13
z = 2500    (2)
- 
521
194
z = - 
39640
97
    (3)

Multiply both sides of equation (3) by 26190
Divide both sides of equation (3) by 6773, get the equation：
        - 
70335
6773
z = - 
10702800
6773
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 13x -2y -2z = 1300    (1)
 
970
13
y = 
27635300
6773
    (2)
- 
521
194
z = - 
39640
97
    (3)

Multiply both sides of equation (3) by 388
Divide both sides of equation (3) by 521, get the equation：
        - 
1042
521
z = - 
158560
521
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 13x -2y = 
835860
521
    (1)
 
970
13
y = 
27635300
6773
    (2)
- 
521
194
z = - 
39640
97
    (3)

Multiply both sides of equation (2) by 13
Divide both sides of equation (2) by 485, get the equation：
         2y = 
56980
521
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 13x = 
892840
521
    (1)
 
970
13
y = 
27635300
6773
    (2)
 z = 
79280
521
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
68680
521
    (1)
 y = 
28490
521
    (2)
 z = 
79280
521
    (3)


Therefore, the solution of the equation set is:
x = 
68680
521
y = 
28490
521
z = 
79280
521


Convert the solution of the equation set to decimals:
x = 131.823417
y = 54.683301
z = 152.168906

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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