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Solve by Graphing
Types of Systems
Substitution
Elimination
Special Situations
100

Using Desmos, solve each system by graphing.

y = x - 2

x + y = 10

(6, 4)

100

Using Desmos, classify each system as independent, dependent, or inconsistent.

3x + 2y = 7

3x - 15 = -6y

Independent

(intersecting lines = one solution)

100

Solve each system by substitution.

x = y - 2

3x - y = 6

(4, 6)

100

Solve the system by elimination.

-x + 3y = -1

x - 2y = 2

(4, 1)

100

Use any method to solve the system.

2x + y = 0

4x + 2y = -11

No Solution

200

Using Desmos, solve each system by graphing.

4x + 3y = -16

-x + y = 4

(-4, 0)

200

Using Desmos, classify each system as independent, dependent, or inconsistent.

x + y = 6

3x + 3y = 3

Inconsistent

(parallel lines = no solution)

200

Solve each system by substitution.

6x - 3y = -33

2x + y = -1

(-3, 5)

200

Solve the system by elimination.

-x + y = 3

5x + y = 9

(1, 4)

200

Use any method to solve the system.

x + 5y = 1

2x + 10y = 2

Infinitely Many Solutions

300

Using Desmos, solve each system by graphing.

x + y = 6

x - y = 4

(5, 1)

300

Using Desmos, classify each system as independent, dependent, or inconsistent.

x + 3y = 9

-2x - 6y = -18

Dependent

(same line = infinitely many solutions)

300

Solve each system by substitution.

4x = 8y

2x + 5y = 27

(6, 3)

300

Solve the system by elimination.

x + 2y = 10

3x - y = 9

(4, 3)

300

Use any method to solve the system.

3x - 2y = 5

-6x + 4y = 7

No Solution