Systems of Linear Equations

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

• (-1, 4)
• (1, -4)
• (-4, 1)
• (4, -1)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Solve the system of equations.

y = x +6

y = 4x

• (2, 8)

• (-2, -8)

• (6/5, 2)

• (-6/5, -2)

Solve for x and y.

y = 2x - 7

y = x

• (-7, -7)

• (0, 0)

• (7, 7)

• (-3,0)

How many solutions does the systems of equations below have?

y = 3x - 6

y = 3x + 8

• Infinite Solutions

• No solutions

• One Solutions

• Two Solutions

How many solutions does the systems of linear equations have below.

y = 4x - 1

y = 4x - 1

• Infinite Solutions

• No Solutions

• One Solution

• Two Solutions

What is the solution?

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

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 linear equations below.

y = 6x

y = -2x

• (0, 0)

• (0, 4)

• (2,-5)

• (2,5)

A system of linear equations is... 

• Math Magic
• One Equation
• Always more than 2 equations
• A set of 2 or more equations