Systems of Equations No, Many, One Solution

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

x = x

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two 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

How many solutions does the system of equations have?

• one solution

• no solutions

• infinetly many solutions

• you cannot graph two lines

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

When a system of equations has infinitely many solutions, what does that mean ?

• The lines cross once

• The lines never cross

• The lines are exactly the same

• Systems of equations cannot have infinite solutions

What is the solution to the system?

• (-1, -2)

• (-2,-1)

• (-2, -2)

• (-1, -3)