Systems Day 2 Worksheet

Systems of Equations: Day 2 Name:________________________

Warm UpA company called E-MUSIC charges you $5 to join their site, and $0.50 for every song you download from their site. Their competitors, a company called U-TUNES, doesn’t make you pay to join their site but charges $1 for every song that you download.

1. If you don’t download many songs, which company is cheaper for you?

2. When is it cheaper to join E-MUSIC than U-TUNES?

3. Where do the lines and cross?

Important Stuff1. Find four points that satisfy the equation .

e.g. (0, 10)

2. Find four points that satisfy the equation .

3. The point (0,10) is in the solution set of . Does it also satisfy the second equation?

4. How many points do the two equations share? What are the points that they share?

5. Find a point that is in the solution set of both of and .

Here’s an important definition:A bunch of equations are called a system of equations. For example, and

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Systems of Equations: Day 2 Name:________________________

are a system of equations.

A solution to a system of equations is a point that makes both equations true. For example, the point (0,1) is not a solution to the system of equations because it only makes one of the equations true.

6. Is the given point a solution to the system of equations?

7. Design a system of equations that does not have any solutions.

8. Solve the system of equations in the questions below:

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