F3 math plz..

2014-09-15 5:56 am
x + 3y = 0
3x + 4y = -45

回答 (2)

2014-09-15 6:02 am
✔ 最佳答案

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解聯立二元一次方程:

{ x + 3y = 0 ...[1]
{ 3x + 4y = -45 ...[2]

方法一(代入法):
從 [1] 可知 x = -3y ...[3]
把 [3] 代入 [2] 可得
3(-3y) + 4y = -45
-9y + 4y = -45
-5y = -45
y = 9
x = -3(9) = -27
因此,
{ x = -27
{ y = 9

方法二(消元法):
[1] × 3: 3x + 9y = 0 ...[3]
[2]:  3x + 4y = -45 ...[2]

[3] - [2] 得 5y = 45
y = 9
代入 [1],
3x + 9(9) = 0
3x + 81 = 0
3x = -81
x = -27
因此,
{ x = -27
{ y = 9


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2014-09-15 9:24 am
ASK YOUR TEACHER!!!!!!!!!!!!!!!!!


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