Mathematics
语言:中文
Language:English
current location:Equations > Multivariate equations > Answer
Detailed information:
The input equation set is:
 z = 13    (1)
 7y + z = 5    (2)
 2x + y = 0    (3)
Question solving process:

交After the exchange of equation (1) and equation (3), the equation system becomes:
 2x + y = 0    (1)
 7y + z = 5    (2)
 z = 13    (3)

Subtract both sides of equation (3) from both sides of equation (2), get the equation:
 2x + y = 0    (1)
 7y = -8    (2)
 z = 13    (3)

Divide both sides of equation (2) by 7, get the equation:
         y = 
8
7
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 2x = 
8
7
    (1)
 7y = -8    (2)
 z = 13    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
4
7
    (1)
 y = 
8
7
    (2)
 z = 13    (3)


Therefore, the solution of the equation set is:
x = 
4
7
y = 
8
7
z = 13


Convert the solution of the equation set to decimals:
x = 0.571429
y = -1.142857
z = 13

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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