Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.

2x + y + z = -7
x - 3y + 4z = -14
x - 2y - 3z = -11

Question

Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.

2x + y + z = -7
x - 3y + 4z = -14
x - 2y - 3z = -11

anonymous · Answer

I dont know how to go about this one

shamil98 · Answer

Multiply the bottom two equations by -1 and then add the equations (this will get rid of the x and z variables) to solve for y.

shamil98 · Answer

Got it from there?

anonymous · Answer

Is that all i have to do?

shamil98 · Answer

pretty much but put it in your own words, as it says "include the solution to one of the variables"

shamil98 · Answer

that would be the process of elimination i think, i forget the terminology used.

anonymous · Answer

-x + 3y - 4z = +14
-x + 2y + 3z = +11
y-z=3?

anonymous · Answer

@shamil98

anonymous · Answer

I shill have two variables

shamil98 · Answer

no, the question says to find a solution to ONE of the variables.

anonymous · Answer

Oh so y-z=3 is my answer

anonymous · Answer

wait 14+11 is 25 im so dumb

anonymous · Answer

i was seeing 4-1 for some reason i have no idea why

shamil98 · Answer

no..

2x + y + z = -7
x - 3y + 4z = -14
x - 2y - 3z = -11

multiply the bottom two by -1  you get

2x + y + z = -7 
-x +3y - 4z = 14
-x +2y +3z = 11

add them all x and z cancel out so you're left with
6y = 18
y = 3

anonymous · Answer

i was also seeing 3-2 lolol i need to take a break ive been doing this for too long lol

anonymous · Answer

thank you!

shamil98 · Answer

yeah np