Introduction to Systems of Linear Equations

What is the solution to the system of linear equations?

What is the solution to the system of linear equations?

What is the solution to the system of linear equations?

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

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

Two linear equations with the same set of variables

• system of equations

• function

• association

• correlation

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)

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 $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)