Solving Systems of Linear Equations

Parallel Lines have how many solutions?

• One Solution

• Infinitely Many Solutions

• No Solutions

• As many solutions as you want

Which image shows a system of linear equations with infinitely many solutions?

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• 
• 
• 

What is the solution to this system of equations?

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

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

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

What is the solution to this system?

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

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

What is the solution?

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

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

What is a solution of a linear system?

• the slope of the line
• the y-intercept
• the point where the systems intersect
• the rise over tun

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions