HB4545 Systems of Equations

What is the solution to the systems of equations shown in the graph?

• 1 Solution x=-1/2

• 1 Solution y=-1/2

• Many Solutions

• No Solution

Find the answer using substitution: Please list your answer as a coordinate (x,y)

(a)  

Find the answer to the systems using substitution: List the solution as a coordinate (x,y):

(a)  

Solve the given systems of equations using elimination: Write you answer as a coordinate (x,y).

(a)  

What would the solution be to this system of linear equations?

• (0,-1.5)

• (1, -3)

• (5,0)

• (0,0)

When would we get "infinitely many solutions" to a system of equations?

• The lines are parallel, never intersecting

• The lines cross at one point

• The lines are the same and overlap at all points

• The lines cross at 2 points

When will we get "no solutions" from a system of equations?

• The two lines cross once

• The two lines are the same and overlap

• The two lines are parallel and never touch

• The two lines cross at 2 points

Match the following graphs to the systems of equations

• 
• 
• 

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)