急!!幫手解答F.1數學題*[literal equation]

2007-11-01 12:32 am
1. solve for x
a(3-x) = b

2. solve for x
6(d-bx)=12x

3. solve for x
ax+b/c = dx


4. solve for y
y-p/3 + z/b = 1

5. solve for y
y/2x + 3B = 4A - 3y/z


* y/2x = 份數 = 2x 份 y

回答 (3)

2007-11-01 12:45 am
✔ 最佳答案
1. a(3-x) = b
3a - ax = b
3a - b = ax
x = (3a - b) / a

2. 6(d-bx)=12x
6d - 6bx = 12x
6d = 12x + 6bx
6d = 6x(2 + b)
d = x(2 + b)
x = d / (2 + b)

3.ax+b/c = dx
b/c = dx - ax
b/c = x(d - a)
x = b / [c(d - a)]

4. y-p/3 + z/b = 1
(y - p) / 3 = 1 - z/b
(y - p) / 3 = (b - z) / b
y - p = 3(b - z) / b
y = [3(b - z) - pb] / b

5. y/2x + 3B = 4A - 3y/z
y / 2x + 3y/z = 4A - 3B
y[ 1/(2x) + 3/z] = 4A - 3B
y [(z + 6x) / (2xz)] = 4A - 3B
y = (4A - 3B)[(2xz) / (z + 6x)]
y = [2xz(4A - 3B)] / (z + 6x)
2007-11-01 12:49 am
1.a(3-x)=b
3a-ax=b
3a=b+ax
3a-b=ax
x=(3a-b)/a

2. 6(d-bx)=12x
6d-6bx=12x
6d=12x+6bx
d=2x+bx
d=x(2+b)
x=d/(2+B)

3. ax+b/c = dx
b/c =dx/ax
b/c=(d/a)/x
xb =cd/ca
x=(cd/ca)/b

4. y-p/3 + z/b = 1
y-p/3 = 1-z/b
y = 1-z/b+p/3

5. y/2x + 3B = 4A - 3y/z
y/2x+3y/z = 4A/B
yz/2xz+6xy/2xz=4A/B
6xy+yz=(4A X 2xz)/B
y(6x+z)=(4A X 2xz)/B
y=(4A X 2xz/B/(6x+z)

希望幫到你啦^^
2007-11-01 12:41 am
1.3a-xa=b
2.d-bx=2x
3.b/c=dx
4.y-p/3=1-z/b
5.yx+3y/z=4A-3B

hope it can help you, I am a F.1 student too, so it might wrong...


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