F. 2 Maths -Change of Subject (最佳解答取20分)

2007-01-03 1:54 am
In each of the following, make the letter in brackets the subject of the formula.

1.) 1/w=(r+1/s)t [s]

2.) x/a+1/y-b=1/a [b]



Please show your working steps and explain your answer in details.

回答 (2)

2007-01-03 2:06 am
✔ 最佳答案
》1.) 1/w=(r+1/s)t [s]
Multiply both sides by ws, we get 1 / w * ws = (r + 1) / s * t * ws

s = (r + 1) tw


2.) x/a+1/y-b=1/a [b]

Multiply both sides by ay, we get x / a * ay + 1/y * ay - b * ay = 1 / a * ay
xy + a - aby = y
xy + a - y = aby
(xy + a - y) / ay = b
b = (xy + a - y) / ay
2007-01-03 2:01 am
1 t/w=r+1/s
s=w(r+1)/t

2. 1/y-b=1/a-x/a
1=(1/a-x/a)(y-b)
1/(1/a-x/a)=y-b
y=1/(1/a-x/a)+b
y=a/(1-x) + b


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