Algebra Demystified 2nd Ed

(Marvins-Underground-K-12) #1
Chapter 7 linear equaTionS 203


  1. 0.015x − 0.01 = 0.025x + 0.2


Multiply both sides by 10^3 = 1000.


1000 0 015 001 1000 0 025 02
1000 0 015

(. .) (. .)
(. )

xx
x

−= +
− 11000001 1000 0 025 100002
15 10 25 20

(.)(=+.) (.)
−= +

x
xx 00
15 15
10 10 200
200 200
210 10
210
10

−−
−= +
−−
−=

−=

xx
x

x

x

−−= 21 x


  1. 0.24(2x − 3) + 0.08 = 0.6(x + 8) − 1


Multiply both sides by 10^2 = 100.


1000242 3008 10006 81
1000242

[. ().] [.()]
[. (

xx
x

−+ =+−
−−+ 3 100008 =+ 10006 8 − 1001
100024

)] (.)[.( )] ()
[(.)]

x
(()[(. )]( )
() ()

238 10006 8 100
24238608

xx
xx

−+=+−
−+=+−−
−+=+−

100
48 xx 72 860 480 100
48 64 60 380
48 48
64 12 380
380 380
444 1

xx
xx
x

−= +
−−
−= +
−−
−= 22
444
12
37

x

x

x

−=

−=
Free download pdf