Question

What is the graph of the system y = -2x + 3 and 2x + 4y = 8?

Answer 1

we need to find the coordinates what method would you like to use?

Answer 2

Elimination
Substitution
Graphing

Answer 3

@TheMathematiciansAnvi

Answer 4

I prefer elimination

Answer 5

\[\frac{ y = -2x + 3 }{ 2x + 4y = 8? }\] you want to eliminate either the X or Y what number would you multiply by?

Answer 6

ignore the ? mark next to the 8

Answer 7

wait

Answer 8

Substitution would be easier here

Answer 9

I'm sorry, I have a question, do I keep the bottom equation in standard form or do I change it to slope before eliminating?

Answer 10

none we should do substitution since it already tells u what y equals

Answer 11

Okay ya that would be smart

Answer 12

It would be 2x-8x+12=8

Answer 13

so -6x+12=8

Answer 14

Is that so

Answer 15

yes now finish solving it :)

Answer 16

x= 4/6?

Answer 17

hmm i think thats right https://www.desmos.com/calculator <----- that should help too

Answer 18

Okay, so now that I have x=4/6 I just substitute x in the equation to find y?

Answer 19

yep

Answer 20

Okay thanks, I have one more. I don't really understand the graphing with linear equations.

Answer 21

ok :) i can help report it also use this https://www.desmos.com/calculator it will graph it for you and you will only need to find the coordinates

Answer 22

3x + 4 = 5x - 10
3x - 4 = 5x - 10
3x + 4 = 5x + 10
3x - 4 = 5x + 10

Answer 23

BTW, I already graphed the last one I just wanted to get a bit ahead

Answer 24

LOL ok good :) ok so here im not sure but i know you can definetly find out by plugging the coordinate to each of the options

Answer 25

Okay, I always try to avoid that in order to know how to do it but I guess I could use a little shortcut :P

Answer 26

So basically, once I plug-in the x-coordinate into each equation whichever I get that both sides are equal is my answer, am I correct?

Answer 27

as in 1=1 would be correct and 2=1 wouldn't

Answer 28

yes so if 0=0 <-------- many solutions 0=9<---------no solution

Answer 29

Okay good

Answer 30

@pooja195 Thanks for the help!