9-10 3.1-3.2 Mystery Clue Solving Equations Game

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Mystery Scenario
On a normal Friday night, Taylor Swift was
kidnapped!! Use the following clues to find out who
did it, where, why, and how she escaped to freedom.
This person was seen outside the event at the time of the kidnapping.
*Solve this system of equations algebraically using elimination.*
x  y  3
2 x  y  3
a)
b)
c)
d)
(2, 1) ……………………………………….……. Beyonce
(2, -1) ……………………………………..…….. Justin Beiber
(-2, 1)…………………………………….…….... Luke Bryan
(-2, -1) ………………………………………….. Katy Perry
T-Swift escaped to freedom by…
*Solve this system of equations by graphing.*
1
x  y  2
2
2 x  4 y  8
a) Infinitely Many Solutions ..……………………. she apologized for the
“Bad Blood” between her and the kidnapper
b) No Solution ……..………………………………….. running away
c) (2, 3) …………..………………………………………… calling the police
d) (3, 2) ….…………………………………………………. kidnapper released her
This was the reason why the kidnap was committed.
*Solve this system of equations by using substitution.*
y  x 1
x y 3
a) (2, 2) ……………………….. TSwift made more $ than the kidnapper
b) (2, 1) ………………………… TSwift stole the kidnapper’s backup
dancer
c) (1, 4) …………………………. TSwift stole the kidnapper’s lyrics
d) (4, 1) ……………………….… TSwift stole the kidnapper’s boyfriend
This is where the crime was committed.
*Solve this system of equations by using elimination.*
3x  y  2
6x  2 y  7
a)
b)
c)
d)
(1/6, 3)…………..…………………………………………… People’s Choice
(-1, 5) …………………………………………………………. VMAs
No solution ……..…………..…………………………… The Grammy’s
Infinitely many solutions …………………………. Teen Choice Awards
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