Mathematics
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Language:English

current location:Equations > Multivariate equations > Answer
Detailed information:
The input equation set is:
 5x + 2y = 25    (1)
 3x + 4y = 15    (2)
Question solving process:

Multiply both sides of equation (1) by 3
Divide the two sides of equation (1) by 5, the equation can be obtained:
         3x + 
6
5
y = 15    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 5x + 2y = 25    (1)
 
14
5
y = 0    (2)

Multiply both sides of equation (2) by 5
Divide both sides of equation (2) by 7, get the equation:
         2y = 0    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 5x = 25    (1)
 
14
5
y = 0    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 5    (1)
 y = 0    (2)


Therefore, the solution of the equation set is:
x = 5
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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