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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 + y + z = 100    (1)
 50x + 30y + 3z = 100    (2)
 6x + 4y + 7z = 1    (3)
Question solving process:

Multiply both sides of equation (1) by 50, the equation can be obtained:
         50x + 50y + 50z = 5000    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 x + y + z = 100    (1)
-20y -47z = -4900    (2)
 6x + 4y + 7z = 1    (3)

Multiply both sides of equation (1) by 6, the equation can be obtained:
         6x + 6y + 6z = 600    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 x + y + z = 100    (1)
-20y -47z = -4900    (2)
-2y + z = -599    (3)

Divide the two sides of equation (2) by 10, the equation can be obtained:
        -2y - 
47
10
z = -490    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 x + y + z = 100    (1)
-20y -47z = -4900    (2)
 
57
10
z = -109    (3)

Multiply both sides of equation (3) by 470
Divide both sides of equation (3) by 57, get the equation：
         47z = - 
51230
57
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 x + y + z = 100    (1)
-20y = - 
330530
57
    (2)
 
57
10
z = -109    (3)

Multiply both sides of equation (3) by 10
Divide both sides of equation (3) by 57, get the equation：
         z = - 
1090
57
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 x + y = 
6790
57
    (1)
-20y = - 
330530
57
    (2)
 
57
10
z = -109    (3)

Divide both sides of equation (2) by 20, get the equation：
        -1y = - 
33053
114
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 x = - 
6491
38
    (1)
-20y = - 
330530
57
    (2)
 z = - 
1090
57
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
6491
38
    (1)
 y = 
33053
114
    (2)
 z = - 
1090
57
    (3)


Therefore, the solution of the equation set is:
x = - 
6491
38
y = 
33053
114
z = - 
1090
57


Convert the solution of the equation set to decimals:
x = -170.815789
y = 289.938596
z = -19.122807

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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