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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:
 7x - 
1
2
y = 15    (1)
- 
1
2
x + 
3
5
y -3z = 6    (2)
-1x -4z = -60    (3)
Question solving process:

Divide the two sides of equation (1) by 14, the equation can be obtained:
         
1
2
x - 
1
28
y = 
15
14
    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 7x - 
1
2
y = 15    (1)
 
79
140
y -3z = 
99
14
    (2)
-1x -4z = -60    (3)

Divide the two sides of equation (1) by 7, the equation can be obtained:
         x - 
1
14
y = 
15
7
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 7x - 
1
2
y = 15    (1)
 
79
140
y -3z = 
99
14
    (2)
- 
1
14
y -4z = - 
405
7
    (3)

Multiply both sides of equation (2) by 10
Divide the two sides of equation (2) by 79, the equation can be obtained:
         
1
14
y - 
30
79
z = 
495
553
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 7x - 
1
2
y = 15    (1)
 
79
140
y -3z = 
99
14
    (2)
- 
346
79
z = - 
4500
79
    (3)

Multiply both sides of equation (3) by 237
Divide both sides of equation (3) by 346, get the equation：
        - 
519
173
z = - 
6750
173
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 7x - 
1
2
y = 15    (1)
 
79
140
y = 
111627
2422
    (2)
- 
346
79
z = - 
4500
79
    (3)

Multiply both sides of equation (2) by 70
Divide both sides of equation (2) by 79, get the equation：
         
1
2
y = 
7065
173
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 7x = 
9660
173
    (1)
 
79
140
y = 
111627
2422
    (2)
 z = 
2250
173
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
1380
173
    (1)
 y = 
14130
173
    (2)
 z = 
2250
173
    (3)


Therefore, the solution of the equation set is:
x = 
1380
173
y = 
14130
173
z = 
2250
173


Convert the solution of the equation set to decimals:
x = 7.976879
y = 81.676301
z = 13.005780

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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