Question

Which system has (-8, 0) as the solution
Which system has infinite solutions?

Which system has (-2, -2) as the solution
Which system has (1, 3) as the solution
Which system has no solutions?
A) 4x + 6y = -12
2x + 3y = 9
B) x + y = -4
-3x + 2y = 2
C) x + y = -1
4x + 4y = -4
D) x - 4y = -8
2x - 3y = -16
E) x - y = -2
3x - y = 0
Can someone please help? I already solved all these but every time I graph them I cant find where they intersect

Answer 1

4x + 6y = -12
2x + 3y = 9 ----> 4x+6y=18

subtract them from each other

0= -30

A is no solution.

Answer 2

x + y = -4 ----> 3x+3y=-12
-3x + 2y = 2

add them to each other,

5y=-10
y=-2.

I can see that
B has (-2, -2) as the solution

Answer 3

x + y = -1 ---> 4x+4y=-4
4x + 4y = -4

C has infinite solutions

Answer 4

I thought I had to graph them

Answer 5

Hold on, first lets see which one is which.

Answer 6

Okay, thank you for helping by the way

Answer 7

x - 4y = -8 ----> 2x-8y= -16
2x - 3y = -16

subtract them from each other,
-5y=0

D has (-8, 0) as the solution

Answer 8

Guess which one is E.

Answer 9

(1,3) (:

Answer 10

A no solution
B has (-2, -2) as the solution
C has infinite solutions
D has (-8, 0) as the solution
E has (1,3) as the solution

to get this straight.

Answer 11

You don't have to graph them, the question doesn't tell you too, but if you want I can help you graph.

Answer 12

Yes, thank you(: they were all right but I was just trying to graph them so that I could figure out where they intersect but I understand graphing already, thanks for offering though!

Answer 13

Anytime, I wouldn't what to graph them either, so it is not a problem that you refused too. Less work for both of us.

Answer 14

Yeah I didn't want to make you do that, its a lot of work and a waste of our time since I already understand it lol

Answer 15

Cool! \[(•_‿•) \]