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

Thank your for helping me

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

Algebra is not my strong suit....

Im not sure

ok one sec

The topic is Solving Linear Systems Graphically

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

Nope

I have no idea how this works *sighs sadly*

Lukaskosir it is the first one

\(\color{#0cbb34}{\text{Originally Posted by}}\) @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

lol

*feels dumb rn*

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

Wait, was i right?

Oh no

I was saying that it is the first question

bc it doesnt fit into the equation

Thank you hayden

Wait what happend

Why was i being warrned

your welcome, and nice try lukakosir

Huh?

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

bc u gave a direct answer

Bro sorry i dont know how to use this app

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.

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?

Of which two answers?

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?

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

Thank you

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

yup good

Thank you for your help

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