Mathematics
语言：中文
Language:English
current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 x + y = 100    (1)
 130x -585y = 0    (2)
Question solving process:

Multiply both sides of equation (1) by 130, the equation can be obtained:
         130x + 130y = 13000    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 x + y = 100    (1)
-715y = -13000    (2)

Divide both sides of equation (2) by 715, get the equation：
        -1y = - 
2600
143
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 x = 
11700
143
    (1)
-715y = -13000    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
11700
143
    (1)
 y = 
2600
143
    (2)


Therefore, the solution of the equation set is:
x = 
11700
143
y = 
2600
143


Convert the solution of the equation set to decimals:
x = 81.818182
y = 18.181818

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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