Systems of Equations

Graphing

1

y = x

y = -x 

What is (0, 0)

2

y = -1

y = -(5/2)x + 4

What is (2, -1)

3

y = 4x+3

y = -x - 2

What is (-1, -1)

4

y = -2x + 2

y = -2x -2

What is no solution

5

-2x - y = 1

-6x = 3y + 3

What is infinitely many solutions

Substitution

1

x + y = 2

y = 3

What is (-1, 3)

2

y = 6x - 11

-2x - 3y = -7

What is (2,1)

3

2y - x = 4

10y - x = 20

What is (4,2)

4

y = -3x + 5

5x - 4y = -3

What is (1,2)

5

-5x + y = -3

3x - 8y = 24

(0,-3)

Elimination

1

x + 5y = 12

-x + y = 0

What is (2,2)

2

-4x - 2y = -12

4x + 8y = -24

What is (6, -6)

3

x - y = 11

2x + y = 19

What is (10, -1)

4

-6x + 6y = 6

-6x + 3y = -12

What is (5,6)

5

5x + y = 9

10x - 7y = -18

What is (1, 4)