AnimeGhoul8863:

The table below shows four systems of equations: System 1 System 2 System 3 System 4 4x − 5y = 2 3x − y = 8 4x − 5y = 2 3x − 2y = 1 4x − 5y = 2 3x − 8y = 4 4x − 5y = 2 10x − 9y = 4 Which pair of systems will have the same solution? System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to two times the second equation in system 1 System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to three times the second equation in system 1 System 2 and system 4, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2 System 2 and system 4, because the second equation in system 4 is obtained by adding the first equation in system 2 to three times the second equation in system 2

7 months ago
AnimeGhoul8863:

4x − 5y = 2= system1 3x − y = 8=system 1 4x − 5y = 2= System 2 3x − 2y = 1 =System 2 4x − 5y = 2= System 3 3x − 8y = 4= System 3 4x − 5y = 2= System4 10x − 9y = 4= System 4

7 months ago
Ultrilliam:

7 months ago
Ultrilliam:

@dude

7 months ago
Ultrilliam:

@563blackghost Can you help this person when you get the chance?

7 months ago
563blackghost:

Hello! Let me take a look at your question :)

7 months ago
AnimeGhoul8863:

OK thank you so much

7 months ago
AnimeGhoul8863:

if a pic would make more sense give me 2 mins to get one

7 months ago
AnimeGhoul8863:

7 months ago
563blackghost:

No I understand it just trying to figure it out. It's got multiple steps. The best thing is to try out each answer choice. So I am doing that.

7 months ago
AnimeGhoul8863:

ok thanks for all the effort ur putting in

7 months ago
563blackghost:

Let's try the first one.  System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to two times the second equation in system 1 So the second equation in system 3 is $$\bf{3x-8y=4}$$. It says it is obtained by adding the first equation of system 1 (which is $$\bf{4x-5y=2}$$ to 2 times the second equation of 1 (which is $$\bf{3x-y=8}$$ so we try this out. Apply 2 times. $$\large\bf{3x-y=8 \rightarrow 6x-2y=16}$$ Now add this to the first equation. $$\large\bf{10x-7y=18 }$$ This is incorrect. Let's try the next one.

7 months ago
563blackghost:

Second goes by... System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to three times the second equation in system 1 Second equation of system 3: $$\bf{3x-8y=4}$$ First equation in system 1: $$\bf{4x-5y=2}$$ 3 times the second equation in 1: $$\bf{3x-2y=1 \rightarrow 9x - 6y = 3}$$ Now add these. $$\large\bf{13x-11y=5}$$ Is this correct or incorrect?

7 months ago
563blackghost:

Does 13x-11y=5 equal to 3x-8y=4?

7 months ago
563blackghost:

u there @AnimeGhoul8863 ?

7 months ago
AnimeGhoul8863:

im sorry my mom was talking to me for a moment its my grandparents bday so i had to call them but im back now

7 months ago
563blackghost:

okie that's fine :) The question I asked is with the explanation of the second answer (which is above) is the total equal to the seond equation of system 3 ($$\bf{3x-8y=4}$$)?

7 months ago
AnimeGhoul8863:

My mind says yes but my gut says no

7 months ago
563blackghost:

correct they are not equal so B is wrong.

7 months ago
563blackghost:

Now on to the next XD

7 months ago
AnimeGhoul8863:

im thinking the answer of this question is c but i still cant tell

7 months ago
563blackghost:

The third choice tells us...  System 2 and system 4, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2 Second equation of system 4 is $$\bf{10x-9y=4}$$ It tells us that the first equation in system 2 (which is $$\bf{4x-5y=2}$$) is added to twice the second equation in system 2 (which is $$\bf{3x-2y=1}$$). We follow the process. Twice the second equation in system 2 $$\large\bf{3x-2y=1 ~~\rightarrow ~~ 6x-4y=2}$$ Added it to the first equation of system 2 $$\bf{4x-5y=2}$$ . $$\large\bf{10x-9y=4}$$ Does the second equation of system 4 $$\bf{10x-9y=4}$$ equal to $$\bf{10x-9y=4}$$?

7 months ago
AnimeGhoul8863:

yes

7 months ago
AnimeGhoul8863:

7 months ago
563blackghost:

Correct :D

7 months ago
AnimeGhoul8863:

YEAH FINALLY GOT THE ANSWER THANK YOU SOOOOOOOOOOOOOOOO MUCH!!!!!!!!!!!!!!!!!!!!!!!!!

7 months ago
563blackghost: