PERIOD
6-5 Study Guide and Interuention
Applying Sysfems of Linear Equations
Determine The Best Method You have leamed three methods for solving
systems of linear equations: graphing,
substitution, elimination using addition, and elimination using addition. For an exact solution, an algebraic method is best.
Exercises
r
Determine the best method to solve each system of equations. Then solve the system.
1. 5.r +
3x-
3Y:
2.3x-5y=7 6/tni ndh 6n (+)
16
5Y:4
2x +
5y:13
3r- r,/:1
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€lirninanrn
2x *yt: tb
(5x
r3q)=QL)o
z(zx - Fh=kq )@
o
&5x
?x
KD
-la
bT
3-Y+3x:24
5x-Y:3
6l'w'tnhrn (+\'f4,,r)
ut)x=JV
r ,t4ftt
f
;r*ilP =)9
5o{!: r
(y, = 3Z
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6
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chapter
x =+
X= 2-
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9
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t=
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n
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4il= [oo)tt
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l-=
-6
'll x-lrlJr)= 11
-ll x + s? i=- 11
Glencoe Ngebra
-llx
x
=
-3j
=-3
1
DATE
PERIOD
6-5 Skills practice
Applying Sysfems of Linear Equations
netermine the best mettod to solve each
system of equations. Then solve the system.
1.5r+3y=16
2.3x
3x- 5Y:4
{mL N oIYwedl/
firtvrmn^&)
,.
5y=
13
€l'yn',[thn (+)
(+,t)
3-y:3x-24 *'3(:D-?9,
4.
#l-ffi
2x
b*
7
5AW
L''t)
5t--3x
- 5y:
-l h - 10y: 17
5x-7v=50
"-4,i*"
a) o{lu hd'u
el'wtrrtdto'n[!)
(-;,-s)
t)tt
= -lb
^=-tr
s.4x+y=24
5x-Y:12
L+,4
6i"rmmd'* C+)
Qr*A=>-\l
fo /Y=- r L
4x- = 4b
5(4)
chapter.
6.6x-y=-r45 X=4-a0.)
x=4-2y
\ X= 4-2b
m)
(r(q-eq) -U =- l-I
sqbshfu
q'1 : -,l*rs
'dy'= ,:toq
,-q -t
't= lb
*-'-72
'-*-
ia)
-q€ t?-
\ = {
32
Glencoe
Algebn
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