System of equations

2012-08-09 7:27 am
Find the solution to the following set of equations :
2x - 5y = 2............(1)
3x + y = 28 .............(2) and
- x + 3y = 1 ..........(3)
Please show steps.

回答 (1)

2012-08-09 7:54 am
✔ 最佳答案
2x - 5y = 2 ...... (1)
3x + y = 28 ...... (2)
-x + 3y = 1 ...... (3)

只用 (1) 和 (3) 解方程式組:

(3) * 2 :
-2x + 6y = 2 ...... (3')

(1) + (3') :
y = 4

把 y = 4 代入 (1) :
2x - 5(4) = 2
2x = 22
x = 11

把 x = 11 及 y = 4 代入 (2) 中:
左式 = 3(11) + 4 = 37 ≠ 右式

故此題無解。
參考: andrew


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