Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 700x + 701y = 703    (1)
 701x + 700y = 704    (2)
Question solving process:

Multiply both sides of equation (1) by 701
Divide the two sides of equation (1) by 700, the equation can be obtained:
         701x + 
491401
700
y = 
492803
700
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 700x + 701y = 703    (1)
- 
1401
700
y = - 
3
700
    (2)

Multiply both sides of equation (2) by 490700
Divide both sides of equation (2) by 1401, get the equation：
        - 
327367
467
y = - 
701
467
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 700x = 
327600
467
    (1)
- 
1401
700
y = - 
3
700
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
468
467
    (1)
 y = 
1
467
    (2)


Therefore, the solution of the equation set is:
x = 
468
467
y = 
1
467


Convert the solution of the equation set to decimals:
x = 1.002141
y = 0.002141

解方程组的详细方法请参阅：《多元一次方程组的解法》
Return