The Student Room Group

Simultaneous Equations - Substitution

Hey,

Well I'm not very clear on this.. I know that x or y is needed to be made the subject. And then substituting the other equation in

the two equations are;

x+3y=11
4x-7y=6

So would I make X the subject (as its the easier one)

x=11 - 3y
Then how would I go about adding the second equation
Original post by Coerce
Hey,

Well I'm not very clear on this.. I know that x or y is needed to be made the subject. And then substituting the other equation in

the two equations are;

x+3y=11
4x-7y=6

So would I make X the subject (as its the easier one)

x=11 - 3y
Then how would I go about adding the second equation


You don't add the second equation if you are trying to solve by substitution. Substitute into the second equation to obtain 4(113y)7y=64(11-3y)-7y=6 and then solve the linear equation to find y.
Reply 2
Original post by Mr M
You don't add the second equation if you are trying to solve by substitution. Substitute into the second equation to obtain 4(113y)7y=64(11-3y)-7y=6 and then solve the linear equation to find y.


Oh that is what I meant.. but surely you couldn't work it out from 44-12y-7y=6?

so would it just be 5y = 60?
Original post by Coerce
Oh that is what I meant.. but surely you couldn't work it out from 44-12y-7y=6?

so would it just be 5y = 60?


No!

4412y7y=644-12y-7y=6

Collect like terms:

4419y=644-19y=6

Subtract 6 from each side:

3819y=038-19y=0

Add 19y to each side:

19y=3819y=38

and so on.
Reply 4
Original post by Mr M
No!

4412y7y=644-12y-7y=6

Collect like terms:

4419y=644-19y=6

Subtract 6 from each side:

3819y=038-19y=0

Add 19y to each side:

19y=3819y=38

and so on.



Ah I see LOL.. **** man I make myself look like a fool on her 80% of times-.- ty
Reply 5
Original post by Mr M
/


How would you go about 3x-y=7 and 10x +3y = -2
think the low numbers / minus answer is confusing me a bit
Original post by Coerce
How would you go about 3x-y=7 and 10x +3y = -2
think the low numbers / minus answer is confusing me a bit


Just apply the same method
Original post by Coerce
How would you go about 3x-y=7 and 10x +3y = -2
think the low numbers / minus answer is confusing me a bit


y=3x7y=3x-7
Reply 8
Original post by Mr M
y=3x7y=3x-7


Yeah was double checking - you just substitute that into the other formula thanks both of you.. much appreciated:smile:
substituting your new eq into
4x-7y=6 you will got
4(11-3y)-7y=6 then it wil become
44-12y-7y=6
-19y=6-44
-19y=-38 then dividing by -19 both side
So you will get y=2 and then take equation x+3y=11 by substituting the value of y then you wll got x=5
Original post by moh'd seif
...


Even though the OP had solved this particular problem - others may use the thread to get support

Therefore, the rules asking us to not post full solutions will still apply

Quick Reply

Latest