Question

Solve the following systems of equations using the graphing method.
What type of system is it? Name the solution if there is one.
2x-2y=8
x-y=4

Answer 1

is this correct

Answer 2

2x-2y=8
+2y +2y
2x=2y+8
/2 /2
x=y+4

x-y=4
+x +x
y=x+4

Answer 3

@megan_tanuis

Answer 4

graph and find the intersection

Answer 5

I'm confused on how to graph. is my work above correct

Answer 6

You subtract 2x, not add. Whatever the sign is, you do the opposite so it cancels out

Answer 7

I think their both reduce to y=x-4

Answer 8

no intersection means no solution

Answer 9

2x-2y=8
divide by 2:
x - y = 4
add y:
x = y + 4
subtract 4:
x - 4 = y or y = x - 4

x-y=4
add y:
x = y + 4
subtract 4:
x - 4 = y or y = x - 4

They are both one and the same equation. You will get just one line.
Any point on the line will satisfy both the equations.
You have infinte number of solutions.

Answer 10

2x-2y=8
-2x -2x
-2y=-2x+8
/-2 /-2
y=x-4

Answer 11

i see my mistake

Answer 12

There, now you have it

Answer 13

Do you still need help with graphing?

Answer 14

yes please

Answer 15

You get the same equation. So it's just one line. Plot your first point at -4 since that is your y-intercept. Then from that point, you go up one, over one.

Answer 16

@megan_tanuis

Answer 17

What is the second circle for?

Answer 18

you said up one over to right?

Answer 19

Like this

Answer 20

what do you use to make your graphs? lol they look much better than mine

Answer 21

But yes, I can see it now. You continue up the line with that.

Answer 22

http://www.teacherled.com/resources/fourquadgraph/fourquadload.html

Answer 23

and it is infinite?

Answer 24

Yes

Answer 25

If you need anymore help, I will be on tomorrow after 11am

Answer 26

okay i do have some more is that 11am eastern?

Answer 27

Yeah