Mathematics
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Language:English

current location:Equations > Multivariate equations > Answer
Detailed information:
The input equation set is:
 605x + 240y = 330    (1)
 240x + 477y = 126    (2)
Question solving process:

Multiply both sides of equation (1) by 48
Divide the two sides of equation (1) by 121, the equation can be obtained:
         240x + 
11520
121
y = 
1440
11
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 605x + 240y = 330    (1)
 
46197
121
y = 
54
11
    (2)

Multiply both sides of equation (2) by 9680
Divide both sides of equation (2) by 15399, get the equation:
         240y = 
5280
1711
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 605x = 
569910
1711
    (1)
 
46197
121
y = 
54
11
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
942
1711
    (1)
 y = 
22
1711
    (2)


Therefore, the solution of the equation set is:
x = 
942
1711
y = 
22
1711


Convert the solution of the equation set to decimals:
x = 0.550555
y = -0.012858

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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