SOLUTION: i need help on systems of equations with 3 variables. 2x+y-3z=-12 5x-y+z=11 x+3y-2z=-13 Please and Thank you!

Question 123854: i need help on systems of equations with 3 variables.
2x+y-3z=-12
5x-y+z=11
x+3y-2z=-13
Please and Thank you!
Answer by johnnico6426(16) (Show Source): You can put this solution on YOUR website!
There are lot of ways to solve equations with 3 unknown variable. You can do matrices or substitution. For the sake of easiness, I will demonstrate how to solve the 3 equations using substitution.
Equations:

Isolate the y in the first variable.

Plug the y in the second equation.

Simplify.

Isolate z.

Plug the z in the y.

Simplify.

Plug the NEW y and z value in the last equation.

Simplify and solve for x.

Plug x=1 to the new y.

Plug the y and x value to any of the equations. you should get
Solutions:

RELATED QUESTIONS
I need help with system of equations with 3 variables. 1. Solve x + y = z -2x � 4y + z (answered by Alan3354)

System of equations with three variables. Need help to reduce equations (lose fractions)... (answered by ankor@dixie-net.com)

I need assistance on solving systems of equations in three variables, by elimation. The (answered by checkley71)

Hi Tutors: I am working on systems of equations in three variables. I worked up to the... (answered by LilSkittleMd)

i need help with matrices and systems of equations. [1 -7 -1] [2 -3 2] [1 3 -2]... (answered by stanbon)

Solve the following system of equations for the unknown variables. 3x + 3y = 3 -3x (answered by MathLover1,mananth,greenestamps,MathTherapy)

Please help! I am so confused! 3. Solve for X, Y, and Z in the following systems of... (answered by rviksub)

hello, we are working with linear equations. i am trying to solve 3 equations with 3... (answered by Alan3354)

Solve for X, Y, and Z in the following systems of three equations: Can you show me the... (answered by Edwin McCravy)