Question

Z kazdego z podanych nizej wzorow wyznacz x :

a) P= abx

b) R= a/bx

c) S=a/bx

d) T=1/abx

e) y=2t - 3x

f) y= y=2(x-1)

g) y = x-1/2

Answer 1

a) P=abx |:ab
P/ab=x
x=P/ab
b) R=ax/b |b
Rb=ax |:a
Rb/a =x
x=Rb/a
c) S=a/bx |bx
Sbx=a |:sb
x=a/sb
d) t=1/abx |abx
tabx=1 |:tab
x= 1/tab
e) y=2t-3x
y-2t=-3x |:(-3)
(y-2t)/-3=x
x=(y-2t)/-3
f) y=2(x-1)
y=2x-2
y+2=2x |:2
(y+2)/2=x
x=(y+2)/2

g)y=x-1/2/*2
2y=x-1
2y+1=x

 

Answer 2

a

P= abx /:ab

P/ab=x

 

b

R= a/bx /*bx

Rbx=a

a=Rbx /:Rb

a/Rb=x

 

c

S=a/bx /*bx

Sbx=a //:Sb

x=a/Sb

 

d

T=1/abx /*abx

Tabx=1 /:Tab

x=1/Tab

 

e

y=2t-3x 

3x=2t-y /:3

x=(2t-y)/3

 

f

y=2(x-1)

y=2x-2

2x-2=y

2x=y+2 /:2

x=(y+2)/2

 

g

y = x-1/2 /*2

2y=x-1

x-1=2y

x=2y+1