Linear System Solutions

How many solutions are in the following system?

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

If a linear system has equations with DIFFERENT SLOPES, how many solutions will you have?

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions are in the following system?

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions are in the following system?

• ONE Solution

• NO Solution

• INFINITELY MANY Solutions

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

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

Tell whether the ordered pair is a solution to the system.
(0, 3)   -7x + 9y = 27
            -14x - 2y = -6

• Yes

• No