Lesson Introduction Linear System

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

What is the solution?

• (2, 2)
• (3, 2)
• no solution
• (2, 3)

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• one line

What does it mean if a linear system has one solution?

• The lines intersect at one point
• The lines do not intersect
• The lines intersect at many points

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

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

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

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

• (3, -1)
• (-1, -3)
• (-1, -1)
• (-1, 3)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)
• (-7 ,5)
• (3, 15)
• (9, 6)