✔ 最佳答案
圖片參考:
https://s.yimg.com/lo/api/res/1.2/ZQit8r6YM3UMER1bF6V.OQ--/YXBwaWQ9dHdhbnN3ZXJzO3E9ODU-/http://i.imgur.com/ZH9B85L.gif
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
圖片參考:
https://s.yimg.com/rk/HA00430218/o/262110100.jpg