Question

*Medal*
1) −4x − 2y = −12
4x + 8y = −24

Answer 1

I have to solve through Elimination

Answer 2

do you HAVE to or can you use substitution?

Answer 3

add

Answer 4

in columns

Answer 5

\[ −4x − 2y = −12 \\ 4x + 8y = −24\]_________________

Answer 6

what do you get on the right when you add?

Answer 7

in other words, what is \(-12+(-24)\) ?

Answer 8

-4x+4x=?
-2y+8y=?
-12+(-24)=?

Answer 9

-12-24 = -36

Answer 10

ok so the right hand side is \(-36\) when you add
how about the left hand side? what is \(-4x+4x\) ?

Answer 11

Nothing, Zero, am I right?

Answer 12

right

Answer 13

so the \(x\) terms add up to zero
what is\(-2y+8y\) ?

Answer 14

+4y

Answer 15

hmmmm

Answer 16

\(8-2=?\)

Answer 17

6

Answer 18

ok so \(8y-2y=6y\) right?

Answer 19

yep

Answer 20

therefore if you add you get the new equation
\[6y=-36\] one equation only and also only one variable
if \(6y=-36\) then what is \(y\) ?

Answer 21

y = -6 right?

Answer 22

yes

Answer 23

Then you should be able to plug that in for y in one of the original equations and solve for x.
Or alternatively, you could go through the elimination process again...