System of Equations and Inequalities

x

100

x + y = 5

y = 3

2

200

x - y = 5

y = 3

8

300

-x - y = 5

y = 3

-8

400

-x + y = 5

y = 3

-2

500

x + y = -5

y = 3

-8

y

100

x + y = 7

x = 4

3

200

x - y = 7

x = 4

-3

300

-x - y = 7

x = 4

-11

400

-x + y = 7

x = 4

11

500

-x + y = -7

x = 4

-3

Solution

100

2x + y = 7

x - y = 2

(3, 1)

200

3x - 2y = 8

x + y = 6

(4, 2)

300

4x + 3y = 10 

2x - y = 0

(1, 2)

400

5x - y = 12 

x + 2y = 9

(3, 3)

500

6x - 2y = 14 

3x + y = 8

(5/2, 1/2)

No. of Solutions

100

-2x - 3y = -8 

4x + y = 6

One

200

y = 2x + 3 

y = 2x - 1

No Solution

300

y = -x + 5 

y = -x + 1

No Solution

400

2x + 4y = 8

x + 2y = 4

Infinitely Many Solutions

500

3x − 6y = 9

x − 2y = 3

Infinitely Many Solutions

Inequality

100

Solve for y.

3x - y > 5

y < 3x - 5

200

Solve for y.

7x + y > 9

y > 9 - 7x

300

Solve for y.

y - 3 < 5x - 7

y < 5x - 4

400

Solve for y.

6x - 3y > 12

y < 2x - 4

500

Solve for y.

2y - 6 > -2( x - 1)

y > 4 - x