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Chapter 3 A1 Glencoe Algebra 2
An
swer
s
STEP
1
Cha
pter
33
Gle
ncoe
Alg
ebra
2
NA
ME
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__D
ATE
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__P
ER
IOD
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3
Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Ant
icip
atio
n G
uide
Sys
tem
s o
f E
qu
atio
ns
and
Ineq
ual
itie
s
Chapter Resources
Bef
ore
you
beg
in C
ha
pte
r 3
R
ead
each
sta
tem
ent.
D
ecid
e w
het
her
you
Agr
ee (
A)
or D
isag
ree
(D)
wit
h t
he
stat
emen
t.
W
rite
A o
r D
in
th
e fi
rst
colu
mn
OR
if
you
are
not
su
re w
het
her
you
agr
ee o
r di
sagr
ee,
wri
te N
S (
Not
Su
re).
Aft
er y
ou c
omp
lete
Ch
ap
ter
3
R
erea
d ea
ch s
tate
men
t an
d co
mpl
ete
the
last
col
um
n b
y en
teri
ng
an A
or
a D
.
D
id a
ny
of y
our
opin
ion
s ab
out
the
stat
emen
ts c
han
ge f
rom
th
e fi
rst
colu
mn
?
F
or t
hos
e st
atem
ents
th
at y
ou m
ark
wit
h a
D,u
se a
pie
ce o
f pa
per
to w
rite
an
exa
mpl
e of
wh
y yo
u d
isag
ree.
STEP
2
ST
EP
1S
TE
P 2
A,D
,or
NS
Sta
tem
ent
A o
r D
1.A
sys
tem
of
equ
atio
ns
con
sist
s of
tw
o or
mor
e eq
uat
ion
s w
ith
di
ffer
ent
vari
able
s.D
2.T
he
solu
tion
of
a sy
stem
of
equ
atio
ns
can
be
fou
nd
by f
indi
ng
the
inte
rsec
tion
of
the
grap
hs
of t
he
equ
atio
ns.
A
3.A
sys
tem
of
equ
atio
ns
that
is
inco
nsi
sten
t h
as a
n i
nfi
nit
e n
um
ber
of s
olu
tion
s.D
4.G
iven
th
e tw
o eq
uat
ion
s y
x
7
and
3x
4y
10,a
so
luti
on c
an b
e fo
un
d by
su
bsti
tuti
ng
x
7 fo
r y
in t
he
Ase
con
d eq
uat
ion
.
5.T
he
prod
uct
of
the
equ
atio
n 6
m
4n
22 a
nd
2
is
12m
8n
22
.D
6.W
hen
sol
vin
g a
syst
em o
f in
equ
alit
ies
by g
raph
ing,
if t
he
grap
hs
do n
ot i
nte
rsec
t th
en t
her
e is
no
solu
tion
.A
7.A
ll t
he
orde
red
pair
s in
th
e in
ters
ecti
on o
f th
e gr
aph
s of
a
syst
em o
f in
equ
alit
ies
are
call
ed c
onst
rain
ts.
D
8.If
th
e in
ters
ecti
on o
f th
e gr
aph
s of
a s
yste
m o
f in
equ
alit
ies
is
a po
lygo
nal
reg
ion
,th
at r
egio
n i
s ca
lled
bou
nde
d.A
9.Li
nea
r pr
ogra
mm
ing
is t
he
proc
ess
of f
indi
ng
all
solu
tion
s to
a
syst
em o
f li
nea
r in
equ
alit
ies.
D
10.
Th
e so
luti
on t
o a
syst
em o
f eq
uat
ion
s w
ith
th
ree
vari
able
s is
w
ritt
en a
s (x
,y,z
) an
d is
cal
led
an o
rder
ed t
ripl
e.A
Lesson 3-1
Cha
pter
35
Gle
ncoe
Alg
ebra
2
NA
ME
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____
____
____
____
____
__D
ATE
____
____
____
__P
ER
IOD
____
_
3-1
Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Less
on R
eadi
ng G
uide
So
lvin
g S
yste
ms
of
Eq
uat
ion
s by
Gra
ph
ing
Get
Rea
dy
for
the
Less
on
Rea
d t
he
intr
odu
ctio
n t
o L
esso
n 3
-1 i
n y
our
text
boo
k.
W
hic
h a
re g
row
ing
fast
er,i
n-s
tore
sal
es o
r on
lin
e sa
les?
on
line
sale
s
In
wh
at y
ear
is t
he
in-s
tore
an
d on
lin
e sa
les
the
sam
e?20
05
Rea
d t
he
Less
on
1.T
he
Stu
dy T
ip o
n p
age
117
of y
our
text
book
say
s th
at w
hen
you
sol
ve a
sys
tem
of
equ
atio
ns
by g
raph
ing
and
fin
d a
poin
t of
in
ters
ecti
on o
f th
e tw
o li
nes
,you
mu
st a
lway
sch
eck
the
orde
red
pair
in
bot
hof
th
e or
igin
al e
quat
ion
s.W
hy
is i
t n
ot g
ood
enou
gh t
och
eck
the
orde
red
pair
in
just
on
e of
th
e eq
uat
ion
s?S
amp
le a
nsw
er:T
o b
e a
solu
tio
n o
f th
e sy
stem
,th
e o
rder
ed p
air
mu
stm
ake
bo
th o
f th
e eq
uat
ion
s tr
ue.
2.U
nde
r ea
ch s
yste
m g
raph
ed b
elow
,wri
te a
ll o
f th
e fo
llow
ing
wor
ds t
hat
app
ly:c
onsi
sten
t,in
con
sist
ent,
dep
end
ent,
and
ind
epen
den
t.
inco
nsi
sten
tco
nsi
sten
t;co
nsi
sten
t;d
epen
den
tin
dep
end
ent
Rem
emb
er W
hat
Yo
u L
earn
ed
3.L
ook
up
the
wor
ds c
onsi
sten
tan
d in
con
sist
ent
in a
dic
tion
ary.
How
can
th
e m
ean
ing
ofth
ese
wor
ds h
elp
you
dis
tin
guis
h b
etw
een
con
sist
ent
and
inco
nsi
sten
t sy
stem
s of
equ
atio
ns?
Sam
ple
an
swer
:O
ne
mea
nin
g o
f co
nsi
sten
tis
b
ein
g in
ag
reem
ent,
or
co
mp
atib
le,
wh
ile o
ne
mea
nin
g o
f in
con
sist
ent
is
no
t b
ein
g in
agre
emen
to
r i
nco
mp
atib
le.
Wh
en a
sys
tem
is c
on
sist
ent,
the
equ
atio
ns
are
com
pat
ible
bec
ause
bo
th c
an b
e tr
ue
at t
he
sam
e ti
me
(fo
rth
e sa
me
valu
es o
f x
and
y).
Wh
en a
sys
tem
is in
con
sist
ent,
the
equ
atio
ns
are
inco
mp
atib