Chapter 7 linear equaTionS 203
- 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
- 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
−=
−=