Question

Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?
6x + 8y = 16
–3x – 4y = –6
6x – 3y = 2
–3x – 4y = –8

Answer 1

Thank your for helping me

Answer 2

do u have to use substitutiin or sum else???

Answer 3

Algebra is not my strong suit....

Answer 4

Im not sure

Answer 5

ok one sec

Answer 6

The topic is Solving Linear Systems Graphically

Answer 7

do you have any idea if u can eleminate one??

Answer 8

Nope

Answer 9

I have no idea how this works *sighs sadly*

Answer 10

Lukaskosir it is the first one

Answer 11

\(\color{#0cbb34}{\text{Originally Posted by}}\) @HaydenwH
well u could prob start wth eliminating a,c
\(\color{#0cbb34}{\text{End of Quote}}\)
oop i was supposed to say b,d lmao

Answer 12

lol

Answer 13

*feels dumb rn*

Answer 14

whats your reasoning tho- why can we eliminate b and d?

Answer 15

Wait, was i right?

Answer 16

Oh no

Answer 17

I was saying that it is the first question

Answer 18

bc it doesnt fit into the equation

Answer 19

Thank you hayden

Answer 20

Wait what happend

Answer 21

Why was i being warrned

Answer 22

your welcome, and nice try lukakosir

Answer 23

Huh?

Answer 24

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Lukakosir
Why was i being warrned
\(\color{#0cbb34}{\text{End of Quote}}\)
u gave a direct answer

Answer 25

bc u gave a direct answer

Answer 26

Bro sorry i dont know how to use this app

Answer 27

try multiplying the problem you already have by a number to get an equivalent answer. like 3+3=6. multiply both 3s by 2, and they become 6, which changes your answer to 12.

Answer 28

Recall that a consistent *and* independent system has two equations with one solution only. That means they only intersect once. Therefore, the two equations must have different y-intercepts *and* slopes.

To help you out:

if you multiply 3x + 4y = 8 by 2, you get 6x + 8y = 16
if you multiply 3x + 4y = 8 by (-1) you get -3x - 4y = -8

neither of these answers works. if you multiply an equation by a constant, you get the same equation. that's not what were looking for.

between the other two choices: which one is an equation with a different slope *and* y-intercept from the original?

Answer 29

Of which two answers?

Answer 30

Im trying to find the slope and intercept and see if it's different from that of the original equation, so which two equations did you eliminate?

Answer 31

this is the original equation: 3x + 4y = 8

I eliminated 6x + 8y = 16 and -3x - 4y = -8 because they're just multiples of the original equation

between –3x – 4y = –6 and 6x – 3y = 2, see which one has a different slope and y-intercept compared to 3x + 4y = 8

if you're having trouble: solve all three equations for y

Answer 32

Thank you

Answer 33

So it's C, 6x-3y=2, right? Because it has a different slope and y intercept than 3x+4y=8?

Answer 34

yup good

Answer 35

Thank you for your help