Calculator Graphing
Substitution
Elimination
Which method and WHY?
Player's Choice
100

y = 3x + 2


y = 8x - 3

(1 , 5)

100

y = 3x - 2


3x - 4y = -10

(2 , 4)

100

x - y = 11


2x + y = 19

(10 , -1)

100

−2x − 9y = −25


−4x − 9y = −23

Elimination - the Y's are the same so subtracting them will eliminate them.  

100

3x + 9y = 6


y = 2x + 17

(-7 , 3)

200

y = x - 5


y = -x + 1

(3 , -2)

200

y = 3x + 14


2y - 6x = 28

(-3 , 5)

200

−6x + 5y = 1


6x + 4 y = −10

(-1 , -1)

200

8x + y = −16


y = 3x −5

Substitution - the 2nd equation is already isolated for y.  

200

y = 5x + 3


y = 2x + 6

(1 , 8)

300

y = 5 - x


y - 3x = 25

(-5 , 10)

300

5x + 2y = 7


y = 8 - 4x

(3 , -4)

300

−4x − 2y = −12


4x + 8y = −24

(6 , -6)

300

−3x + 7y = −16


−9x + 5y = 16

Elimination - You can easily make the -3x a 9x and then add or subtract them  

300

2x - 5y = 18


3x - 5y = 22

(4 , -2)

400

x - 2y = - 14


x + 3y = 1

(-8 , 3)

400

3x - 8y = 6


x - 4y = 2

(2 , 0)

400

5x - 2y - 21


3x - y = 12

(3, -3)

400

y = 6x - 9


y = 3x − 22

Graphing method - they are both in the y=mx + b form and ready to put into the calculator.  

400

x = 3y - 8


4x + 7y = -13

(-5 , 1)

500

5x + 4y = -1


2x - 9y =42

 (3, -4)
500

x + 3y = 7


5y - 4x = -96

(19, -4)

500

5x + 4y = -28


3x + 10y = -13

(-6, 1/2)

500

x + y = 6


2x + y = 10

Why does this question work for all  methods.  

Substitution - an x or y can be isolated
Graphing - only the x terms needs to be moved to the right side
Elimination - Can subtract the Y's to eliminate them

500

3x - 2y = - 20


4x + 3y = 13 

(-2 , 7)