Question

Need some help learning how to use Elimination to solve a system of three equations for X, Y, and Z.
I am supposed to enter the numbers like an ordered triple, like this, (2, -3, 4)

Here I have these...
{ 4x + y + 3z = 0
{ 2x - 2y - z = 10
{ 3x - 2y + 2z = 11

Answer 1

I am unsure of how to go about this. What should I do first?

Answer 2

Isolate one of the variables and use that to find the values of the other. I would start with the first equation because it is equal to 0 and will be more simple.

For example, if you were isolating for x, you would end up with
4x = y+3z
x=0.25(y=3z)

You could then substitute that value of x into one of the other equations, and then you would develop it and isolate for another variable in the same fashion.

Using the third equation, you would find a true value of the remaining variable and then use that to find the values of the other two.

Answer 3

*0.25(y+3z)