Mathematics
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Language:English

current location:Equations > Multivariate equations > Answer
Detailed information:
The input equation set is:
 3x + y = 1    (1)
 4x + y = 0    (2)
Question solving process:

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

Multiply both sides of equation (2) by 3, get the equation:
        -1y = -4    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 3x = -3    (1)
1
3
y = 
4
3
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = -1    (1)
 y = 4    (2)


Therefore, the solution of the equation set is:
x = -1
y = 4

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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