Systems of Linear Equations Intro

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

What is the solution to this system of equations? 3x - 5y = 22 5x + y = 32 Choose the correct answer from the drop-down menu to complete the statement. The solution to the system of equations ​ (a)   .

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

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

What is the solution to this system of equations?

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

What is the solution to this system of equations? Choose the correct answer from the drop-down menu to complete the statement. The solution to the system of equations ​ (a)   .

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

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

• (-7,7)

• (-7,-7)

• No Solution

• Infinite Solutions

• (7,-7)