Classify a System of Equations

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

• intersecting lines

• parallel lines

• same lines

If the solution is infinitely many the lines will ________?

• intersect at exactly one point

• be parallel

• overlap each other

• never exist

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

x - 3y = -13
4x + 2y = 4

• (1, 4)

• (-1, -4)

• (-1, 4)

• (1, -4)

Classify the system below.   y = 4x + 8 y = -5x + 3

• inconsistent

• consistent and independent

• consistent and dependent

Classify the system below.  

y = x + 8

y = -x + 3

• inconsistent

• consistent and independent

• consistent and dependent

Classify the system below.   y = -5x + 1 y = -5x + 1

• inconsistent

• consistent and independent

• consistent and dependent

How many solution/s if the system is inconsistent?

• One solution

• Two solutions

• Infinitely many solutions

• No solution

How many solution/s if the system is consistent and dependent?

• One solution

• Two solutions

• Infinitely many solutions

• No solution

How many solution/s if the system is consistent and independent?

• One solution

• Two solutions

• Infinitely many solutions

• No solution