Systems of Equations

GRAPHING

100

x + 2y = 7 3x - 2y = 5

What is 3,2?

200

-x + y = -7 x + 4y = -8

What is 4, -3?

300

-5x + y = 0 5x + y = 10

What is 1,5?

400

-x + 2y = 3 2x + y = 4

What is 1,2?

500

x - y = 5 3x + y + 3

What is 2, -3?

SUBSTITUTION

100

y = 3x + 2 x + 2y = 11

What is 1, 5?

200

x - 2y = -6 4x + 6y = 4

What is -2, 2?

300

y = 2x + 5 3x + y = 10

What is 1,7?

400

x - y = 3 x + 2y = -6

What is 0, -3?

500

3x+ y = -7 -2x + 4y = 0

What is -2, -1?

ELIMINATION

100

2x + 3y = 11 -2x + 5y = 13

What is 1,3?

200

4x + 3y = 2 5x + 3y = -2

What is -4, 6?

300

8x - 4y = -4 4y = 3x + 14

What is 2, 5?

400

4x -3y = 5 -2x + 3y = -7

What is -1,-3?

500

7x -2y = 5 7x -3y = 4

What is 1,1?

MULTIPLY FIRST

100

6x + 5y = 19 2x + 3y = 5

What is 4, -1?

200

4x + 5y = 35 2y = 3x - 9

What is 5, 3?

300

6x - 2y = 1 -2x + 3y = -5

What is -1/2, -2

400

2x + 5y = 3 3x + 10y = -3

What is 9, -3?

500

3x - 7y = 5 9y = 5x + 5

What is -10, -5?

SPECIAL CASES

100

3x + 2y = 10 3x + 2y = 2

What is no solution?

200

x - 2y = -4 y = 1/2x + 2

What is infinitely many solutions?

300

5x + 3y = 6 -5x - 3y = 3

What is no solution?

400

y = 2x - 4 -6x + 3y = -12

What is infinitely many solutions?

500

x - 3y = -15 2x - 3y = -18

What is -3, 4?