Systems of Equations Review

Determine how many solutions exist for each system of equations.

3x - 3y = -6

y = x + 2

• Consistent

  Dependent

• Consistent

  Independent

• Inconsistent

Determine how many solutions exist for each system of equations.

x + y = 0

3x - y = 2

• Consistent

  Dependent

• Consistent

  Independent

• Inconsistent

Use substitution to solve.

x = 5y - 1

2x + 5y = -32

• (-11,-2)

• (-2,-11)

• (2,9)

• (9,-2)

Use elimination to solve the system

3x + 5y = 16

8x - 5y = 28

What is the value of x?

Use elimination to solve the system.

x - 4y = 1

x + 2y = 19

• (-39,-10)

• (-11,-3)

• (3,13)

• (13,3)

Use elimination to solve the system.

4x + 7y = -14

8x + 5y = 8

What is the value of y?

Use elimination to solve the system.

5x + 4y = -10

3x + 6y = -6

What is the value of y?

Use substitution or elimination to solve the system.

x – 2y = 1

6x – 5y = 20

• (2, 5)

• (−5, −2)

• (5, 2)

• (−2, −5)

Use substitution or elimination to solve the system and find the value of y.

2x + 3y = 1

5x – 4y = –32

• −8/3

• 8/3

• −3

• 3

Use substitution or elimination to solve the system and find the value of y.

6x + 3y = 12

5x + 3y = 0

• −20

• −9/11

• 20

• 9/11