Solutions to Linear Systems of Equations

The graph of two linear equations is shown. What is the best estimate to the solution of the system of equations?

• (2, 1)

• (1, 2)

• (-4, 2)

• (2, 4)

• (4, 2)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

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

• Parallel lines

• the same line 

• Intersecting lines

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

• (0, 2)

• (2, 0)

• (2, -2)

• (-2, -2)

• (-2, 2)

How many solutions does the system of equations have?

• One solution

• No solution

• Infinite solutions

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (0, 3)

• (3, 0)

• (0, -3)

• (-3, 3)

• (-3, 0)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)