Identify Systems of Equations

What is the solution to the system of equations?

• no solution

• infinite solutions

• (0, 3)

• (1, 0)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

What is the solution to the system of equation?

• (0, -1)

• no solution

• (0,1)

• infinite solutions

What is the solution to the system of equations?

• no solution

• infinite solutions

• (3,2)

• (2,3)

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

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

If the graph is of two lines that are THE SAME, this system is...

• Consistent and Independent

• Consistent and Dependent

• Inconsistent

If a system has no solution, it is said to be ___________.

• elimination

• independent

• dependent

• inconsistent

When there is no solution it is called

• Inconsistent System

• Consistent System