Question

Solve the following system of equations:x + 2y + z = -2-2x + 4y - 4z = -222x + y + 2z = 5

Answer 1

@jim_thompson5910 @Mertsj

Answer 2

Could you please make a clearer post?

Answer 3

is the actual problem this?

x + 2y + z = -2
-2x + 4y - 4z = -22
2x + y + 2z = 5

Answer 4

Solve the following system of equations:

Answer 5

\[x + 2y + z = -2-2x + 4y - 4z = -222x + y + 2z = 5 \]

Answer 6

That's how my worksheet has it written but it could be the way you have it @jim_thompson5910

Answer 7

that's how the worksheet wrote it out? literally that format?

Answer 8

yes

Answer 9

well that's just lousy

Answer 10

it's hard to tell where one equation ends and where one equation begins

what I wrote out is just one possibility of what they meant

Answer 11

I think so... it says under that the possible answers are:

Answer 12

(3, -3, 1)

(-3, -3, 1)

(3, -3, -1)

(-3, 3, 1)

Answer 13

ok let me try out a few things real quick

Answer 14

ok it has to the be that because the other possibilities give different answers

Answer 15

Start off by solving the first equation for x

x + 2y + z = -2

x + z = -2 - 2y

x = -2 - 2y - z

-------------------------------------------------------

Now plug x = -2 - 2y - z into the second equation


-2x + 4y - 4z = -22

-2(-2 - 2y - z) + 4y - 4z = -22

4 + 4y + 2z + 4y - 4z = -22

4+8y-2z = -22

8y-2z = -22 - 4

8y-2z = -26

-------------------------------------------------------

Then plug x = -2 - 2y - z into the third equation

2x + y + 2z = 5

2( -2 - 2y - z) + y + 2z = 5

-4 - 4y - 2z + y + 2z = 5

-4-3y = 5

Answer 16

From here, you need to solve -4-3y = 5 for y

Once you have the value of y, you solve 8y-2z = -26 for z (after plugging in the value of y found previously)

Answer 17

Finally, once you know y and z, you can use them to get x by plugging them into x = -2 - 2y - z