Question

Help! Need help!

1. Justin is considering two websites for downloading music.The costs are detailed here.

Website 1: a yearly fee of $30 and $1.50 for each download

Website 2: $2 for each download

What is a system of equations to represent the costs for one year?

Express your equations in the form of y=mx+by=mx+b where x is the number of downloads for the year and y is the total cost for the year.

Website 1:

Website 2: ​

2. Is the system of equations is consistent, consistent and coincident, or inconsistent?

y=4x−4y=−4x+4

a. consistent b. consistent and coincident c. inconsistent
​

Answer 1

website 1 : y = 1.50x + 30
website 2 : y = 2x + 0...or just y = 2x
=======================
y = 4x - 4
y = -4x + 4

4x - 4 = -4x + 4
4x + 4x = 4 + 4
8x = 8
x = 1

y = 4x - 4
y = 4(1) - 4
y = 4 - 4
y = 0

so this is a consistent system because it has one solution (1,0)