Question

Three times the first number plus the second number twice the third number is five. If three times the second number is subtracted from the sum of the first number and three times the third number, the result is two. If the third number is subtracted from two times the first number and three times the second number, the result is one. Find the numbers.

Answer 1

The three equations I came up with from the word problem was:
3x+y+2z=5
x+3y-3y=2
2x+3y-z=1

I believe I am right up to this point

Answer 2

ok solve them..

Answer 3

So subtract twice the second equation from the first one? and then subtract twice the second ,from the third?

Answer 4

subtract 3 times the second from the first sorry

Answer 5

yea

Answer 6

what do u get?

Answer 7

messed up on second equation

Answer 8

wait.. let me check..

Answer 9

should be x+3z-3y

Answer 10

so 10y-7z=-1 for first work out

Answer 11

actually there's an easier way i think..

Answer 12

and 9y-7z=-3

Answer 13

x-3y+3z=2
2x+3y- z=1

-x+4z=1

Answer 14

right I did switch it to that

Answer 15

ok good.. now

Answer 16

hmmm see if I come up with the same

Answer 17

I get y=2

Answer 18

z=3

Answer 19

x=-1

Answer 20

see if that works lol and thank you for the help

Answer 21

that's all good.

Answer 22

haha i barely did anything, but here's to check.. this is right

Answer 23

hmmm not coming out right

Answer 24

well maybe it is right lol

Answer 25

8-3=5 first one is satisfied

Answer 26

that matrices?

Answer 27

yea it's a shortcut i used haha..

Answer 28

haven't learned that yet but looks easier lol

Answer 29

9-7 = 2 works too..

Answer 30

6-5=1 yup it's all good just double checked on paper

Answer 31

awesome... thank you

Answer 32

np