Mathematics
语言：中文
Language:English
current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 x = 5    (1)
 x + 5y -2z = -4    (2)
 4x -3y + 2z = 1    (3)
Question solving process:

Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:
 x = 5    (1)
 5y -2z = -9    (2)
 4x -3y + 2z = 1    (3)

Multiply both sides of equation (1) by 4, the equation can be obtained:
         4x = 20    (4)
, then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
 x = 5    (1)
 5y -2z = -9    (2)
-3y + 2z = -19    (3)

Multiply both sides of equation (2) by 3
Divide the two sides of equation (2) by 5, the equation can be obtained:
         3y - 
6
5
z = - 
27
5
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 x = 5    (1)
 5y -2z = -9    (2)
 
4
5
z = - 
122
5
    (3)

Multiply both sides of equation (3) by 5
Divide both sides of equation (3) by 2, get the equation：
         2z = -61    (6)
, then add the two sides of equation (6) to both sides of equation (2), get the equation：
 x = 5    (1)
 5y = -70    (2)
 
4
5
z = - 
122
5
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 5    (1)
 y = -14    (2)
 z = - 
61
2
    (3)


Therefore, the solution of the equation set is:
x = 5
y = -14
z = - 
61
2


Convert the solution of the equation set to decimals:
x = 5
y = -14
z = -30.500000

解方程组的详细方法请参阅：《多元一次方程组的解法》
Return