HW Solving a System of Equations bÿ/Graphing
Solve each system of equations by graphing and state the solution.
/+%
1.
y=-x+4
2.
y = 2x - 5
/
ij\
y=x-5
y = -3x + 3
I G,"
) i
J
• /
....
i{i,
/
3.
2
3
y=--x-2
4.
y=2x-3
'V
/
2x - 3y = -3
7
4x - 2y = 6
/
+
•j\ ,=
J,z
J
.
i',/X
)
?/ i,'
h
x/ a
i
5.
y=-4
x + 2y = -6
i{ "-}
I ii
i I ..... +,-.i
%+
Y d?
ÿ
,f
ii;
J
H "
z
L
?
l l, , iÿ
Tell whether the given ordered pair is a solution of the linear system. State Yes or No.
6. (1,-4) ;
2x + y = -2 7x- 2y = 15
.....
.
2x + 8y = 11
7. (5, 2); 2x - 3y = 4
"/"'
t.
Which ordered pair is a solution of the linear system 2x + 3y = 12 and 10x + 3y = -12 ?
C
A (-3, 3)
B; (-3,
c (3, 3)
D (3, G)
t
i';,;. :" ! °i,
) \'/ /
'". " S
/
9. MULTIPLE REPRESENTATIONS It costs $15 for a yearly membership to a movie club
at a movie theater. A movie ticket costs $5 for club members and $8 for nonmembers.
ao
Writing a System Write a system of equations that you can use to find the number of
movies, x, after which the total cost, y, for a club member, including the membership
fee, is the same as the cost for a nonmember.
b. Making a Table Make a table of values
that shows the total cost for a club
c. Drawing a Graph - use the table to
graph the system of equations.
member and a nonmember after paying
50'
to see 1, 2, 3, 4, 5, and 6 movies.
,.ÿ7
45
iÿ,
4O
//
35
0
i
tJ
. ,/
+/
30
//
25
;
/
20
V f,
/
-
,'
15"'
/ /
/
/
/
' ÿ
/
I0
/
5 ÿ ....
• ;
} /
i! ""
ÿi /'
12345678910
# of Movie Visits
After how many movie visits is the cost the
same for club members vs. non-club members?
When does it make sense to become a club
member? Explain.
\