Question

what is the solution of the following system of equation? 2x-6=2y
3-2x=y

Answer 1

x=2 and y=-1

Answer 2

plug in 3-2x for y for the equation 2x-6

Answer 3

right, substitute: you could do as bradley said:

y = (3 - 2x) --> (2x - 6) = 2*(3 - 2x) --> (2x-6) = (6 - 4x)

Answer 4

so 2x + 4x -6 = 6, therefore 6x - 6 = 6, therefore x = 12/6 = 2, x = 2, now use the fact that 3-2x=y --> y now is 3-2*(2) = 3-4 = -1 --> (x,y) = ( 2, -1 )

Answer 5

ok. i am going to see if i can understand it so i can work on my next one

Answer 6

so, just tell me how i sovled it?

Answer 7

so you get the general concept

Answer 8

i am confused

Answer 9

ok, what is confusing now?

Answer 10

i guess the way it is written

Answer 11

ok, you have two equations and two variables

Answer 12

toussainr might be able to explain it differently...

Answer 13

ok, well then: the goal is find the values for each variable that satisfy both equations

Answer 14

My browser just froze, sorry

Answer 15

dpflan, please go ahead!!!

Answer 16

okay, I'm going to give it try, hoping I'm helpful

Answer 17

you have to equations. we are going to proceed in steps to make things easier!!!

Answer 18

1. You move terms in 'x' and 'y' to the left hand side (LHS) and the constants to the right hand side (RHS)

Answer 19

So we have: 2x-2y = 6

Answer 20

AND

Answer 21

-2x-y = -3

Answer 22

Let's move on with step two

Answer 23

2. From equation "-2x-y = -3"
Let's derive a value for 'y'

Answer 24

We have -y = -3+2x
OR
y = 3-2x (we multiply by -1 the LHS and the RHS)

Answer 25

This value: "y = 3-2x" we are going to replace it in the first equation : 2x-2y = 6

Answer 26

We have now:

Answer 27

2x - 2 (3-2x) = 6

Answer 28

Let's multiply,. we have:
2x - 6 + 4x = 6

Answer 29

Let's perform the required addition: 6x-6 = 6

Answer 30

let's divide by 6 the RHS and the LHS, we have now : "x - 1 = 1"

Answer 31

Form here we can easily find the value of x :" x = 2"

Answer 32

Recall that y = 3-2x
So, we replace: y = 3 - 2 * 2 ( * stands here for multiplication )
And finally y = 3 -4
y = -1

Answer 33

THAT"S THE BEST I CAN DO!

Answer 34

thank you. I understand it more now. :)

Answer 35

Okay!!!
Just to quote John Von Neuman : "You don't understand maths, you get accustomed to it"
So do a many exercises as you can! That's the key to successful mathematics!