Math 115 Section 4.2 Activity

Solving Systems by Graphing

100

Solve the system of equations by graphing.

y=x+3

y=-x+1

(-1, 2)

200

Solve the system of equations by graphing. 

y=1/2x+1

y=2x-2

(2, 2)

300

Solve the system of equations by graphing. 

x+y=6

y=2x

(2, 4)

Solving Systems by Substitution

100

Solve the system of equations by substitution.

3x+y=10

y=2x

 

(2, 4)

200

Solve the system of equations by substitution.

3x-2y=14

4x+y=4

(2, -4)

300

Solve the system of equations by substitution.

4x-2y=-2

y=3x+4

(-3, -5)

Solving Systems by Elimination

100

Solve the system of equations by elimination.

3x+y=13

2x-y=2

(3, 4)

200

Solve the system of equations by elimination.

4x+3y=10

2x-y=0

(1, 2)

300

Solve the system of equations by elimination.

3x+4y=10

2x+3y=7

(2, 1)

Solution?

100

Determine if the point (3, -2) is a solution to the following system of equations:

2x+4y=-2

 

x-y=5

Yes

Type of System?

100

Identify the type of system. DO NOT FULLY SOLVE!

2x-y=-1

x+y=4

Independent System

200

Identify the type of system. DO NOT FULLY SOLVE!

3x-y=-5

3x-y=2

Inconsistent System

300

Identify the type of system. DO NOT FULLY SOLVE!

x+y=4

2x+2y=8

Dependent System