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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:
 60x + 5y + 4z = 535    (1)
 10x + 4y + z = 150    (2)
 13x + 5y + 2z = 220    (3)
Question solving process:

Divide the two sides of equation (1) by 6, the equation can be obtained:
         10x + 
5
6
y + 
2
3
z = 
535
6
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 60x + 5y + 4z = 535    (1)
 
19
6
y + 
1
3
z = 
365
6
    (2)
 13x + 5y + 2z = 220    (3)

Multiply both sides of equation (1) by 13
Divide the two sides of equation (1) by 60, the equation can be obtained:
         13x + 
13
12
y + 
13
15
z = 
1391
12
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 60x + 5y + 4z = 535    (1)
 
19
6
y + 
1
3
z = 
365
6
    (2)
 
47
12
y + 
17
15
z = 
1249
12
    (3)

Multiply both sides of equation (2) by 47
Divide the two sides of equation (2) by 38, the equation can be obtained:
         
47
12
y + 
47
114
z = 
17155
228
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 60x + 5y + 4z = 535    (1)
 
19
6
y + 
1
3
z = 
365
6
    (2)
 
137
190
z = 
548
19
    (3)

Multiply both sides of equation (3) by 190
Divide both sides of equation (3) by 411, get the equation：
         
137
411
z = 
5480
411
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 60x + 5y + 4z = 535    (1)
 
19
6
y = 
13015
274
    (2)
 
137
190
z = 
548
19
    (3)

Multiply both sides of equation (3) by 760
Divide both sides of equation (3) by 137, get the equation：
         
548
137
z = 
21920
137
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 60x + 5y = 
51375
137
    (1)
 
19
6
y = 
13015
274
    (2)
 
137
190
z = 
548
19
    (3)

Multiply both sides of equation (2) by 30
Divide both sides of equation (2) by 19, get the equation：
         5y = 
10275
137
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 60x = 
41100
137
    (1)
 
19
6
y = 
13015
274
    (2)
 z = 
5480
137
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
685
137
    (1)
 y = 
2055
137
    (2)
 z = 
5480
137
    (3)


Therefore, the solution of the equation set is:
x = 
685
137
y = 
2055
137
z = 
5480
137


Convert the solution of the equation set to decimals:
x = 5.000000
y = 15.000000
z = 40.000000

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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