Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 15x + 35y = 26    (1)
 35x + 99y = 62    (2)
Question solving process:

Multiply both sides of equation (1) by 7
Divide the two sides of equation (1) by 3, the equation can be obtained:
         35x + 
245
3
y = 
182
3
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 15x + 35y = 26    (1)
 
52
3
y = 
4
3
    (2)

Multiply both sides of equation (2) by 105
Divide both sides of equation (2) by 52, get the equation：
         35y = 
35
13
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation：
 15x = 
303
13
    (1)
 
52
3
y = 
4
3
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
101
65
    (1)
 y = 
1
13
    (2)


Therefore, the solution of the equation set is:
x = 
101
65
y = 
1
13


Convert the solution of the equation set to decimals:
x = 1.553846
y = 0.076923

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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