Dependent Linear System

What is the solution to this system of equations?

• (1,0)

• (-3, -1)

• (-1,-3)

• (1,3)

What is the solution to this system of equations?

• (1,4)

• (4,1)

• (3,5)

• (-1, 4)

Consistent or Inconsistent?

• Consistent

• Inconsistent

Dependent or Independent?

• Dependent

• Independent

• Neither

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

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer 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

WITHOUT GRAPHING
what can you say about these lines

• Consistent and Dependent

• Consistent and Independent

• Inconsistent and Dependent

• Inconsistent and Independent

How may solutions does this graph have?

• None

• 1

• 3

• Infinitely many

What is the solution to this system of equations?

• (0,-1)

• (-1,0)

• (1,0)

• (0,1)

Consistent or Inconsistent?

• Consistent

• Inconsistent