Examine Special Linear Systems

When two lines in a system do not intersect it is said to be a _______ system

• inconsistent

• consistent

When two lines intersect at a point, the system is said to be ________.

• inconsistent

• consistent

The graph of a consistent and dependent system will have ____________ lines.

• parallel

• coincident

• intersecting

Consistent and Independent Systems will have _______.

• no solution

• many solutions

• one solution

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

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

29x+37y=103 and 37x+29y = 95 then

• x=1, y=2

• x=2, y=1

• x=3, y=2

• x=2, y=3

The graph of an inconsistent system will have _______ lines.

• intersecting

• coincident

• parallel

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines