Graphing to Solve System of Equations

What is the solution to this system of equations?

• (1,3)

• (-2,3)

• (3,1)

• (3,-1)

How may solutions does this graph have?

• None

• 1

• 3

• Infinitely many

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

• Parallel lines

• the same line 

• Intersecting lines

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Which of the following systems of linear equations represent parallel lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Which is the best method for solving this system of equations?

• Elimination

• Substitution

• Graphing, Not Graphing...

  (aka Picturing the Graph)

  (aka Using graphing skills but not actually graphing)

Solve the following system by graphing.  What is the solution?

• (-4, 2)

• (4, 2)

• (2, -4)

• (2, 4)

Solve the following system by graphing.  What is the solution?

• (3, -1)

• (-1, -3)

• (-1, -1)

• (-1, 3)