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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:
 2x - 
3
4
y - 
1
2
z = 11    (1)
- 
3
4
x + 
7
4
y = 4    (2)
- 
3
4
x + z = -7    (3)
Question solving process:

Multiply both sides of equation (1) by 3
Divide the two sides of equation (1) by 8, the equation can be obtained:
         
3
4
x - 
9
32
y - 
3
16
z = 
33
8
    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 2x - 
3
4
y - 
1
2
z = 11    (1)
 
47
32
y - 
3
16
z = 
65
8
    (2)
- 
3
4
x + z = -7    (3)

Multiply both sides of equation (1) by 3
Divide the two sides of equation (1) by 8, the equation can be obtained:
         
3
4
x - 
9
32
y - 
3
16
z = 
33
8
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 2x - 
3
4
y - 
1
2
z = 11    (1)
 
47
32
y - 
3
16
z = 
65
8
    (2)
- 
9
32
y + 
13
16
z = - 
23
8
    (3)

Multiply both sides of equation (2) by 9
Divide the two sides of equation (2) by 47, the equation can be obtained:
         
9
32
y - 
27
752
z = 
585
376
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 2x - 
3
4
y - 
1
2
z = 11    (1)
 
47
32
y - 
3
16
z = 
65
8
    (2)
 
73
94
z = - 
62
47
    (3)

Multiply both sides of equation (3) by 141
Divide both sides of equation (3) by 584, get the equation：
         
3
16
z = - 
93
292
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 2x - 
3
4
y - 
1
2
z = 11    (1)
 
47
32
y = 
4559
584
    (2)
 
73
94
z = - 
62
47
    (3)

Multiply both sides of equation (3) by 47
Divide both sides of equation (3) by 73, get the equation：
         
1
2
z = - 
62
73
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 2x - 
3
4
y = 
741
73
    (1)
 
47
32
y = 
4559
584
    (2)
 
73
94
z = - 
62
47
    (3)

Multiply both sides of equation (2) by 24
Divide both sides of equation (2) by 47, get the equation：
         
3
4
y = 
291
73
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 2x = 
1032
73
    (1)
 
47
32
y = 
4559
584
    (2)
 z = - 
124
73
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
516
73
    (1)
 y = 
388
73
    (2)
 z = - 
124
73
    (3)


Therefore, the solution of the equation set is:
x = 
516
73
y = 
388
73
z = - 
124
73


Convert the solution of the equation set to decimals:
x = 7.068493
y = 5.315068
z = -1.698630

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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