Complete the following problems using the Case 4 Answer Template.

- What are the 3 methods for solving systems of equations? Which one do you prefer and why?
- Describe a consistent system.
- Describe an inconsistent system.
- Describe a dependent system.

Solve the following systems of equations using the graphing method.

**What type of system is it? Name the solution if there is one.**

- x + y = 5

-x + y = 3 - 2x – 2y = 8

x – y = 4 - 3x – y = -2

3x – y = 4 - y = 6

x = -3

Solve the following systems of equations using the substitution method.

**What type of system is it? Name the solution if there is one.**

- x = 6y + 2

3x – 18y = 4 - x – y = 3

x + 3y = 6 - y = -2x

4x – 3y = 12 - 2x – 5y = 15

x – 7y = 3

Solve the following systems of equations using the addition (elimination) method.

**What type of system is it? Name the solution if there is one.**

- x + y = 6

x – y = 4 - -2x + 3y = 5

2x – y = 1 - 5x + y = 2

3x + y = 1 - 5x = 20 + y

16 = 3y + 4x

Solve the following systems of inequalities using the graphing method.

**Shade the solution set.**

- x + y > 4

y + 3x < 6 - x ≥ 5

y < 3 - 3x – 2y > 8

-2y + 3x < 12 - 2x + y < 8

x ≥ 4