Question

Is there a difference between solving an equation using the elimination method instead of the substitution method?

really bad at the substitution method, much rather use the elimination.

Answer 1

no, no difference in answers, just difference in the approach, s'all

Answer 2

elimination method takes out a variable (x or y) and then you can just solve (for x or y)
meanwhile substitution means x or y has to be something and then it gets plugged back into the first or second equation... combine like terms solve for x or y lalalalal but both procedures should produce the same results.

Answer 3

Oh okay, so if I solve this question - Solve 4x + 3y = 13 by the substitution method.
x + y = 4

using substitution I'll get the same answer?

Answer 4

you should get the same answer.

Answer 5

trying to think what would be easier.. ah take the second equation and have either x or y by itself

Answer 6

take x+y = 4 and rearrange it
having either x = ?
or y = ?

Answer 7

4x + 4y = 16
4x = 16 - 4y
4x = 13 - 3y
16 - 4y = 13 - 3y

is this elimination or am i doing it wrong again?

Answer 8

o_O

Answer 9

ok I'll give an example where elimination can be used

x+y=2
x-y=5

now use elimination method @Jack1

Answer 10

dont give me that look

Answer 11

;P

Answer 12

2-y = 5+y ...?
im serious, i dont remember this properly hey

Answer 13

So for this I got x = 1 and y = 3

Answer 14

then solve for y, yeah?

Answer 15

for my example
x+y=2
x-y=5


add the two equations together @Jack1

Answer 16

@sloppycanada that's right
when you plug in x =1 and y=3 your equations will be true!

Answer 17

4x + 3y = 13
x + y = 4

since x = 1 and y =3

4(1)+3(3) =13
4+9=13
13=13

Similarly
1+3=4
4=4

Answer 18

right, now i remember, cheers @UsukiDoll

Answer 19

Alright so point is - I don't need to use the sub method when it says too.

Answer 20

thanks!