Question

Classify the system and determine the number of solutions.Check all that apply.
8y - 24x = 64
9y + 45x = 72

inconsistent
infinitely many solutions
consistent
dependent
one solution
independent

Answer 1

Is this a linear algebra question by chance?

Answer 2

Yes this is all about graphing ._.

Answer 3

I realize with this one the lines intersect at (0,8) both of them

Answer 4

And actually i take that back this is Algebra 2

Answer 5

Ok cuz i was going to use some linear algebra techniques but nevermind lol. But from your graph you can see that the system is consistent, has one solution, and independent from each other. You can tell they're independent because the lines are not scalar multiples of each other, in other words you cannot multiply one equation by a number and get the second equation.

Answer 6

O: Thank you good sir Thank you

Answer 7

Can you actually help me out with one more
Then I am done

Answer 8

Sure

Answer 9

Classify the system and determine the number of solutions. Check all that apply.
$2x + 2y = -10$
$4x + 4y = -16$

consistent
infinitely many solutions
inconsistent
no solution

Answer 10

stupid dollar signs ._.

Answer 11

Imagine the dollar signs aren't there

Answer 12

These are parallel aren't they o.o

Answer 13

alright, if you divide the second equation by 2 you can see that the lines have the same slope, meaning they are parallel. Parallel lines never cross eachother, therefore inconsistent and no solution

Answer 14

and no solution o.o ??

Answer 15

yes, inconsistent is a fancy way of saying no solution so they both are true.

Answer 16

*facepalm* Thank you again sir. You have a new fan :D

Answer 17

Good deal! Glad i could help

Answer 18

:D Now if you ever need help I shall try if possible

Answer 19

Sounds like a plan!

Answer 20

And actually could you check me on these 2 problems I am unsure about

Answer 21

Sorry but its always safe to know whether right or wrong v.v

Answer 22

sure lets see them.

Answer 23

Use a graph and a table to solve the system. Check your answer. Enter your answer as the following example: (5, -3).
$3y + 6x = 3$
$x - y = -7$

Well I said No to this one

Answer 24

is the question the same as the two ive helped with before?

Answer 25

No, Basically you fill in the ordered pair with x and y

Answer 26

or it wants a solution is what it sounds like

Answer 27

so like 3(-3) +6(5)

Answer 28

alrighty it wants us to use a graph, so we gotta solve these for y so we can graph them

Answer 29

Oks

Answer 30

1. y = -2x + 1
2. y = x + 7

Answer 31

it intersects at like -3.5

Answer 32

looks like (-2,5)

Answer 33

what does that mean o.o

Answer 34

Wait so that means yes

Answer 35

thats the point that they intersect at. But to be sure plug in the point (-2,5) to see if it satisfies both equations so for the 1st one \[5 = -2(-2) + 1\]\[5 = 4 + 1 \] that one works now for the second one \[5 = -2 + 7\] that one works too so the solution is in fact (-2,5)

Answer 36

that system has 1 solution, is consistent, and they are independent

Answer 37

o: Thank you sir again saved me on that

Answer 38

No problem!

Answer 39

Theoretical High five I got an 80

Answer 40

which mean my average is still a 93 Whoop WHoop

Answer 41

Thank you so so so so sso so so so much

Answer 42

haha very nice!

Answer 43

May I add I hate my algebra teacher

Answer 44

Been there, done that. Just gotta try and teach yourself if the teacher isnt doing a good job or ask a ton of questions.