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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:
 x -1y + z = 0    (1)
 65x -54z = 18    (2)
 65x + 162y = 12    (3)
Question solving process:

Multiply both sides of equation (1) by 65, the equation can be obtained:
         65x -65y + 65z = 0    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 x -1y + z = 0    (1)
 65y -119z = 18    (2)
 65x + 162y = 12    (3)

Multiply both sides of equation (1) by 65, the equation can be obtained:
         65x -65y + 65z = 0    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 x -1y + z = 0    (1)
 65y -119z = 18    (2)
 227y -65z = 12    (3)

Multiply both sides of equation (2) by 227
Divide the two sides of equation (2) by 65, the equation can be obtained:
         227y - 
27013
65
z = 
4086
65
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 x -1y + z = 0    (1)
 65y -119z = 18    (2)
 
22788
65
z = - 
3306
65
    (3)

Multiply both sides of equation (3) by 7735
Divide both sides of equation (3) by 22788, get the equation：
         
25109
211
z = - 
65569
3798
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 x -1y + z = 0    (1)
 65y = 
2795
3798
    (2)
 
22788
65
z = - 
3306
65
    (3)

Multiply both sides of equation (3) by 65
Divide both sides of equation (3) by 22788, get the equation：
         z = - 
551
3798
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 x -1y = 
551
3798
    (1)
 65y = 
2795
3798
    (2)
 
22788
65
z = - 
3306
65
    (3)

Divide both sides of equation (2) by 65, get the equation：
         y = 
43
3798
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 x = 
6963
44521
    (1)
 65y = 
2795
3798
    (2)
 z = - 
551
3798
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
6963
44521
    (1)
 y = 
43
3798
    (2)
 z = - 
551
3798
    (3)


Therefore, the solution of the equation set is:
x = 
6963
44521
y = 
43
3798
z = - 
551
3798


Convert the solution of the equation set to decimals:
x = 0.156398
y = 0.011322
z = -0.145076

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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