Classifying Systems of Equations

Classify the system:

y = -³/₄x + 8

y = ¹³/₄x - 8

• Consistent Independent

• Consistent Dependent

• Inconsistent

Classify the system:

• Consistent Independent

• Consistent Dependent

• Inconsistent

Classify the system:

y = ⁵/₄x + 9

y = -³/₂x + 9

• Consistent Independent

• Consistent Dependent

• Inconsistent

Classify the system:

y = -⁸/₇x - 9

y = ⁶/₇x + 5

• Consistent Independent

• Consistent Dependent

• Inconsistent

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

What is the solution to the equations?

• One Solution

• No Solution

• Infinite Solutions

• -2

• -6

• 3

• 2

• 6

• 1

• 0

• -3

• 4

• 5

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

How many solutions? 3 (10x + 2) = 30x + 6

• One Solution

• No Solution

• Infinite Solutions