Question

x-2y+3z=18

Answer 1

This equation represents a plane in three dimensions.
What would you like to do with the equation?

Answer 2

Solve the system of equations
and find x y and z

Answer 3

You have one single equation in three unknowns.
The solution set will consist of a variable expressed in terms of the other two, such as
\( S=\{18+2y-3z\ \ \forall\ y,z\in\ R \}\)
You can specify for which unknown to be solved.

If you have a system of equations, you need three equations to find an explicit solution (if it exists).

Answer 4

x-2y+3z=18
9x+2y-z=-2
-6x-y+2z=4 here is the entire problem

Answer 5

What methods have you used in school?

Answer 6

elimination

Answer 7

Using elimination, you have a free choice of which variable to eliminate first. I usually choose the easiest one to do. Which one would you choose?

Answer 8

I eliminated y first but i didn't get the right answer

Answer 9

You will only know if you get the right answer after you've found all x,y, & z.
If you have already done the whole process, would you like to share that with me?

Answer 10

I got x = 2 y=-5 z=2

Answer 11

Surprising that you did not have the right answer, yet they are all integers.
Can you show me your first step?

Answer 12

x-2y+3z=18
9x+2y-z=-2
______________________
10x-2z=16 I eliminated -2y and 2y

Answer 13

Good, well done!
and the next step?

Answer 14

I just saw an error in my second step let me work on it

Answer 15

Go ahead!