Linear Equations 29

Identify the type of solution for the following system of equations.

• No solution.

• One solution.

• Infinitely many solutions.

• Two solutions.

Identify the type of solution for the following system of equations.

• No solution.

• One solution.

• Infinitely many solutions.

• Two solutions.

Identify the type of solution for the following system of equations.

• No solution.

• One solution.

• Infinitely many solutions.

• Two solutions.

• (4, 1)

• (1, 4)

• (-2, 0)

• No solution.

• (3, 1)

• Infinitely many solutions.

• (3, -2)

• (2, 1)

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• -2 = 2

• -3 = 3

• all of the above

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Warm up: #2

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

Solve: (Show work on your answer document.)

y=8x+1

y=6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)