Question

Solve the following system using the substitution method:
2x = y
6x + 4y = -14

Answer 1

ok giveb y=2x

Answer 2

*given

Answer 3

now replace y in second equation with 2x

Answer 4

then solve for x

Answer 5

having got x substitute its value in first equation to get y

Answer 6

So you understand Aravind's explanation?

Answer 7

LOL, I am red as long as I don't refresh

Answer 8

haha! ;D

Answer 9

no i don't understand. :(

Answer 10

where exactly you have doubt @dumbsearch2 ?

Answer 11

Plug in y=2x in eq(2)

Answer 12

how to find x

Answer 13

\[\color{#C00}{2x} = y\]\[6x + 4\color{#T00}{\cdot y} = 6x + 4\cdot \color{#C00}{2x}\]

Answer 14

how to find x? cause to find y you need to know x right?

Answer 15

how to find y ? cause to find x you need to know y right?

Answer 16

you have an equation containing only x when you substitute y with x.Then solve for x

Answer 17

gt it now @dumbsearch2 ?

Answer 18

nope. :( sorry I'm dumb...

Answer 19

try to read the replies above again, try to understand what is said .

Answer 20

The first equation we have is 2x = y, that is the same as y=2x.
The second equation we have is 6x + 4y = -14.
Now, we put y=2x into the second equation.
That is whenever we see "y" in the second equation, we re-write it as "2x"
So, we get:
6x + 4 (2x) = -14
Can you solve this?

Answer 21

You know that \(2x = y\), right? So can you say that \(6x + 4y =14\) can be written as \(6x + 4(2x) = 14\)?

Answer 22

x = -4 right?/

Answer 23

no i mean -1? no?

Answer 24

Hmm... yes!

Answer 25

so y = -2! so y = -2, and x= -1! no?

Answer 26

Sorry, it's not \(6x + 4y = 14\). I got my reply wrong :-P

Answer 27

Yesh!

Answer 28

*Clapping hands*

Answer 29

Yay!

Answer 30

:DD thanks so MUCHJ GUYS! im trying so hard to finish math online course for tomrrow... it closes on tomorrow, and I've got 2 units to do online!!! (each unit has like 4 lessons and 4 quizes) I'm kinda bad at the subtituation method and stuff, wish I would understand! it techinically is tomorrow, I mean it's the very very very early morning right now!!i know! I'm trying to use openstudy to help me too... (that's how I stumbled upon this site today!)

Answer 31

So like this! (Confirm! :))

Answer 32

Yes :-)

Answer 33

yeaa! ;D

Answer 34

got a 75% grade in the quiz, not bad. :D