3.1 Intro to Solving Systems of Equations

India 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)

Callie graphed two lines in order to find the solution to a given system of equationsThe solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Tristyn graphed two lines in order to find the solution to a given system of equations. How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

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

• (3, -1)

• (2, -6)

• No Solution

• (6, -2)

Trinti graphed two lines in order to find the solution to a given system of equations. How many solutions are there?

• One Solution

• 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

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

• Intersecting lines
• Same line
• Parallel lines

If a system of linear equations has no solutions, what does this mean about the two lines?

• Intersecting lines

• Same line

• Parallel lines

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

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