Mathematics
语言:中文
Language:English
current location:Equations > Multivariate equations > Answer
Detailed information:
The input equation set is:
 x + 4y = 0    (1)
 4x + 9y = 0    (2)
Question solving process:

Multiply both sides of equation (1) by 4, the equation can be obtained:
         4x + 16y = 0    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 x + 4y = 0    (1)
-7y = 0    (2)

Multiply both sides of equation (2) by 4
Divide both sides of equation (2) by 7, get the equation:
        -4y = 0    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 x = 0    (1)
-7y = 0    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 0    (1)
 y = 0    (2)


Therefore, the solution of the equation set is:
x = 0
y = 0

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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