Question

solve each system by graphing and tell whether it is consistent or inconsistent if the system is consistent tell whether it is dependent or independent

x-y=-4
x+3y=24

Answer 1

I'm not going to solve it by graphing
just sub one equation into the other\[x-y=-4\implies x=y-4\]\[
x+3y=24\]subbing the expression for x into the second equation we get\[y-4+3y=24\]solve for y
if you can reduce the expression to 0=0 it has infinite solutions
if you get a falsehood, like 1=2, then no solution
if you get a value for y (which you can then use to find the value for x) that is the one unique solution

Answer 2

huh

Answer 3

how do i get y

Answer 4

how could you have possibly read all that I wrote in the 2 seconds this has been posted?
I gave you a formula that contains only y by subbing in from the first equation to the second
use that equation that I gave you to find y, it is a direct one-variable problem
then use the first equation to find x

Answer 5

i am a fast reader lol

Answer 6

i dont get it

Answer 7

the math i dont get

Answer 8

you may have read it fast, but since you did not catch that I specifically told you how to find y, and even gave you the formula to find it, I felt perhaps you did not read carefully enough ;)

Answer 9

I did read it i have to find the x

Answer 10

x+3y=24

Answer 11

do you have y yet?

Answer 12

nope

Answer 13

I am confused.. i give up..

Answer 14

the first equation is\[x-y=-4\]that means that\[x=y-4\] agreed?

Answer 15

yes

Answer 16

i got to go in like 5 minutes

Answer 17

the second equation is\[x+3y=24\] plug in the expression for x we agreed on above into this equation and you get\[(y-4)+3y=-4\]still with me?

Answer 18

yes

Answer 19

*typo\[(y-4)+3y=24\]I meant
so you can solve this for y, so go ahead and do that

Answer 20

4y

Answer 21

=?

Answer 22

=24

Answer 23

no
y-4+3y=24
4y=28
y=7

Answer 24

now plug in y=7 to either of your other expression and you will get x

Answer 25

y-4+3y=24?

Answer 26

what about it?
that is the formula we used to find y

Answer 27

and put 7's where y is

Answer 28

no, we need to go back to an equation that still has x in it so we can solve for x

Answer 29

ok well i gotta go ..

Answer 30

ill be back online in bout an hour

Answer 31

x-y=-4
or
x+3y=24
plug in y=7 to either and you get x
later!