Determining Solutions
Graphing
Substitution
Elimination
100

(1, -4) is a solution of  x-2y=8 and 4x-y=8

No

100

Solve by graphing: y = -2x+3 and y = 2/3x − 5

3, -3

100

Solve by substitution: y=5x-10 and y=3x+8

9, 35

100

Solve by elimination x + 2y = 7 and 3x − 2y = −3


1, 3

200

(-2, 1) is a solution of  2x-3y=-7 and 3x+y=-5

Yes

200

Solve by graphing: y =1/2x + 2 and −2x + 4y = 24

no solution

200

Solve by substitution: Y=x+5 and 4x+y=20

3, 8

200

Solve by elimination: -x+y=5 and x-5y=-9

-4, 1

300

(0.5, 3) is a solution of  4x=y-1 and 6x-2y=-3?

Yes

300

Solve by graphing: y =1/2x + 2 and y = −x − 1

-2, 1

300

Solve by substitution: Y=4x+3 and 2x-3y=21

-3, -9

300

Solve by elimination: 2x+3y=12 and  5x-y=13

-3, -9

400

How many solutions? 3x+y=6 and y=-3x+2

No Solution

400

Solve by graphing: −2x − 1 = y and x = −y + 3

-4, 7

400

Solve by substitution: x+2y=-1 and 4x-4y=20

3, -2

400

Solve by elimination: 2x+4y=-4 and 3x+5y=-3

4, -3

500

How many solutions? -9x-3y=-18 and 3x+y=6

Infinitely Many Solutions

500

Solve by graphing: 2x + y = 12 and −3y − x = −11

5, 2

500

Solve by substitution: 4x + y = 8 and 2x + 2y = 10

1, 4

500

Solve: 5x + 9y = 112 and 3x − 2y = 8


8, 8

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