Can you help me find points to graph please?

Question

Graph each system of equations and state its solution. Then state whether the system is consistent and independent, consistent and dependent, or inconsistent.

x + y = 6
x - y = -2


x + 1 = y
2x - 2y = 8


2x + 4 = 8
x + 2y = 4


x + y = 1
3x + 5y = 7

Thank you

Answer 1

Finding points to graph is easy.
Let's look at the first equation of the first problem: x+y=6.
When x is 0, y has to be 6.
When x is 1, y has to be 5.
And so on and so forth... just pick an x, and solve for y.

Similarly, for the second equation (x-y=-2),
When x is 0, y has to be 2.
When x is 1, y has to be 3.

You now have two points for each line, so you can graph them.

You can work out the rest on your own :-)

Answer 2

Bramblysp seems to have nailed it. I would only add that you can go to this site:

http://www.jcoffman.com/Algebra2/ch3_1.htm

to find simple and clear examples of each definition. Just in case your textbook/teacher has not explained it so you can understand. Hope this helps.