Systems of Linear Equations and Inequalities

Solving Systems by Graphing

100

Solve the following by graphing y=-x+5 y=-2x+3

(-2,7)

200

Solve the following by graphing y=3x-5 -7x+y=-5

(0,-5)

300

Solve the following system by graphing 2y+4x=12 2x-y=-10

(-1,8)

400

Solve the following system by graphing. 4x+2y=6 3x-3y=9

(2,-1)

500

Solve the following system by graphing y=4x+4 2y=-3x-14

(-2,-4)

Solving Systems by Substitution

100

Solve the following system using Substitution x=6-4y 2x-3y=1

(2,1)

200

Solve the following system using substitution 4x+3y=0 y=-2x-2

(-3,4)

300

Solve the following system using substitution 6x-y=-35 5x-2y=-35

(-5,5)

400

Solve the following system using substitution 3x+3y=-18 4x-y=-14

(-4,-2)

500

Solve the following system using substitution 4x-2y=-4 7x-5y=-19

(3,8)

Solving Systems by Elimination

100

Solve the following system using elimination x+5y=28 x+2y=13

(3,5)

200

Solve the following system using elmination. 7x-4y=-30 3x+4y=10

(-2,4)

300

Solve the following system using elimination x-3y=6 2x=-3y-33

(-9,-5)

400

Solve the following system using Elmination. x+3y=-1 5x-4y=-24

(-4,1)

500

Solve the following system using elimination. 3x-5y=-16 2x-3y=-8

(-7,-1)

Determining the number of Solutions

100

Determine the number of solutions to the following system. -6x+2y=-2 3x-y=2

No solution

200

Determine the number of solutions to the following system. 2y-x=-4 2x+y=3

(2,-1) One solution

300

Determine the number of solutions to the following system. x+2y=3 x-2y=2

One solution (5/2, 1/4)

400

Determine the number of solutions to the following system. 2x-y=4 -2x+y=-4

Infinitely many solutions. They are the same lines.

500

Determine the number of solutions to the following system. y+3=4x 3y=12x-9

Infinitely many solutions. They are the same line.

Graph Systems of Linear Inequalities

100

Graph the systems of linear inequalities.

 y<x-5 

x>-1 

Mrs.Payne will go around and check your answers!

200

Graph the system of Linear inequalities. 

y>=-x+2

 y<4 

Mrs. Payne will check your answers!

300

Graph the linear system of inequalities. 

y>3 

y>2x+1

Mrs. Payne will check your answers.

400

Graph the system of linear inequalities.

 2x-y<3 

4x+3y>=0

Mrs.Payne will check your answers!

500

Graph the following system of linear inequalities. 

3x+y>=5

3x+y<=8

Mrs. Payne will check your answers!