Classify System of Equations

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

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

• (1, 7)

• (7, 1)

• (2, 9)

• (-1, 3)

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• (1, 4)

• (-1, -4)

• (-1, 4)

• (1, -4)

Classify the system:

y = -³/₄x + 8

y = ¹³/₄x - 8

• Consistent Independent

• Consistent Dependent

• Inconsistent

Classify the system:

y = -x - 7

y = -x + 2

• Consistent Independent

• Consistent Dependent

• Inconsistent

Classify the system:

y = ¹³/₈x + 7

y = ¹/₈x - 5

• Consistent Independent

• Consistent Dependent

• Inconsistent

Classify the system:

y = ⁵/₄x + 9

y = -³/₂x + 9

• Consistent Independent

• Consistent Dependent

• Inconsistent