Solutions of a System of Linear Equations

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

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

• Parallel lines

• the same line 

• Intersecting lines

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

How many solutions does the system of equations have?

• One solution

• No solution

• Infinite solutions

How many solutions does the system of equations on the graph have?

• One Solution

• No Solution

• Many Solutions

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

Does the following system have One Solution, No Solution, or Infinite Solutions.  
y = 4x + 8
y = -5x + 3

• One solution

• No solution

• Infinite solution