Question

x-3y=2
4x-y=-14

Answer 1

Ok so system of equations? Which mmethod makes the most sense to you?

Answer 2

x= -4 y=-3

Answer 3

use either substitution or elimination to solve

Answer 4

Whichevr you find easier

Answer 5

Elimination is usually easiest, so you would want to multiply the first equation by -4 so you can eliminate the x and solve for y

Answer 6

how do you know when to use each one?

Answer 7

after finding y, plug it in to one of the original equations and solve for x

Answer 8

\[4x-y=-14 \rightarrow 4x+14=y \]

Answer 9

So \[x-3(4x+14)=2\]

Answer 10

\[x-12x-42=2\]

Answer 11

x=-4

Answer 12

Plug -4 back into x-3y-2

Answer 13

youll get y=-3

Answer 14

@Bitmaximus
when I used elimination I got y as -2 not -3

Answer 15

ya soz -4-3y=2 -> -3y =6 y=-2

Answer 16

why were you getting -3?

Answer 17

6/3 = 3 of course

Answer 18

-_-

Answer 19

I hope you are being sarcastic...

Answer 20

:P

Answer 21

yes ridiculing myself

Answer 22

thank you for your help

Answer 23

can you always use elimination?

Answer 24

yup you can always use all methods

Answer 25

Some will be easier with certain systems

Answer 26

thank you

Answer 27

So what is your final answer? My answer is (-3,-7)

Answer 28

(-4,-2)

Answer 29

Ive been working on this all day and i still dont understand!

Answer 30

Ok stay on here ill explain fully

Answer 31

This is simple, stop me if youre not understanding

Answer 32

K?

Answer 33

helllllo?

Answer 34

Im willing to explain this thouroughly to you

Answer 35

Yes pleaseeeee, sorry my ipod is slow

Answer 36

haha but ur here now?

Answer 37

Yes

Answer 38

x-3y=2 4x-y=-14 ok lets start from scratch again

Answer 39

Its tempermental

Answer 40

My favourite thing to do is screw elimination and do things with substitution always so thats how ill teach you k?

Answer 41

Ok

Answer 42

ok so for substitution what we need is at least of of the equations to be like x=something (to have x isolated) or y for that matter

Answer 43

Follow?

Answer 44

Yes

Answer 45

x-3y=2 Isolate x (add 3y on both sides) -> x=2+3y
4x-y=-14

Answer 46

k?

Answer 47

Then we now know x is also 2+3y

Answer 48

Yes im follow. I may not be able to respond but i can see what you write.

Answer 49

4x-y=-14 so using this equation make x equal to (2+3y) -> 4(2+3y)-y=-14

Answer 50

Now we solve for y (distribute the 4 inside the brackets) 8+12y-y=-14

Answer 51

simplify 8+11y=-14 -> 11y=-22 -> y=-2

Answer 52

Now that we have y=-2 we can solfe for x (x=2+3y) -> x=2+3(-2) -> x=-4

Answer 53

So the point of intersection is (-4,-2)

Answer 54

Do you get it now?

Answer 55

Im processing it

Answer 56

Haha beeboop

Answer 57

are you good or no?

Answer 58

Yes I think I get it now. Math isn't my best or favorite subject and I have finals this week! :/ Your smarticles! Are you a kid? Thank you so much for sharing your brain!

Answer 59

Im 20 heading into uni double major in math and education