mathz problem

2008-01-11 3:12 am
(i) If 2^x-y = 16 , express x in terms of y.

(ii) Hence , if 1. 2^x-y = 16,,2. 2^x-y = 2,, find the values of x and y.

回答 (1)

2008-01-11 4:10 am
✔ 最佳答案
(i)2x-y = 16
2x-y = 24
x﹣y = 4
x = y+4

(ii)Do you mean 2x+y = 2 ??

x = y+4 ---(1)
2x+y = 2
x+y = 1 ---(2)

Put (1) into (2),
y+4+y = 1
2y+4 = 1
2y = -3
y = -3/2 ---(3)
Put (3) into (1),
x = -3/2 + 4
x = 5/2
∴x = 5/2 , y = -3/2


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