Mathematics
语言:中文
Language:English

current location:Equations > Multivariate equations > Answer
Detailed information:
The input equation set is:
 2x -2y = 5    (1)
 812x + 394y = 1809000    (2)
Question solving process:

Multiply both sides of equation (1) by 406, the equation can be obtained:
         812x -812y = 2030    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 2x -2y = 5    (1)
 1206y = 1806970    (2)

Divide both sides of equation (2) by 603, get the equation:
         2y = 
1806970
603
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 2x = 
1809985
603
    (1)
 1206y = 1806970    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
1809985
1206
    (1)
 y = 
903485
603
    (2)


Therefore, the solution of the equation set is:
x = 
1809985
1206
y = 
903485
603


Convert the solution of the equation set to decimals:
x = 1500.816750
y = 1498.316750

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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