Question

I need some guidance: solving the system.

4x-y+3z=-2
3x+5y-z=15
-2x+y+4z=14

Answer 1

I know that I need to elimante y. So I took the 1st and 3rd equation and added them.

Answer 2

4x-y+3z=-2
-2x+y+4z=14
________________
2x+7z=12

Answer 3

Then I did 2 and 3rd equations:

3x+5y-z=15 3x+5y-z=15
-2x+y+4z=14 10x-5y-20z=-70
_________________ ____________________
13x-21z=-55

Answer 4

now use the two equations that you got
2x+7z=12
13x-21z=-55

to solve for one of the variables (x or z)
and go on and solve each variable one by one

Answer 5

Then I need to take my answers from the first and second and add them together.

2x+7z=12 6x+21=12
13x-21z=-55 13x-21z=-55
_________________
Then I get lost?

Answer 6

its suppose to be 36 at the end of the equation... let me see.

Answer 7

(-1,4,2)

Answer 8

you mean, you solved for x and your answer is wrong? oO

Answer 9

looks good so far...
6x +21z = 36
13x-21z =-55
________________
19x = -19
x = -1

Answer 10

yeah i think dumbcow got it
just keep plug and solve-ing
dumbcow...when i say your name i feel i'm like making fun of you...i'm sory :x

Answer 11

(-1,4,2) is correct
@ chiaroscuro
dont worry about, its an inside joke ;)

Answer 12

Thanks Y'all!!!