Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 D = 172    (1)
 B + D = 109    (2)
 A + B = 58    (3)
 C = 26    (4)
Question solving process:

交After the exchange of equation (1) and equation (3)， the equation system becomes:
 A + B = 58    (1)
 B + D = 109    (2)
 D = 172    (3)
 C = 26    (4)

交After the exchange of equation (3) and equation (4)， the equation system becomes:
 A + B = 58    (1)
 B + D = 109    (2)
 C = 26    (3)
 D = 172    (4)

Subtract both sides of equation (4) from both sides of equation (2), get the equation：
 A + B = 58    (1)
 B = -63    (2)
 C = 26    (3)
 D = 172    (4)

Subtract both sides of equation (2) from both sides of equation (1), get the equation：
 A = 121    (1)
 B = -63    (2)
 C = 26    (3)
 D = 172    (4)


Therefore, the solution of the equation set is:
A = 121
B = -63
C = 26
D = 172

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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