Question

x-y+z=10
4x+y-2z=15
-3x+5y-z=-18
This is a Linear Equation With Three Variables and I must find x y and z

Answer 1

Solve for one variable and use it in the second eq.

x = 10 + y - z
use it in second

4(10 + y - z) + y - 2z = 15

simplify

40 + 4y - 4z + y - 2z = 15
5y - 6z = -35

solve this for y

-7 + 6/5 z = y

Now you have values for both x and y. You can use them to write a complete function in terms of z, and then solve for the z value. Repeat this procedure and you can get values for each variable

Answer 2

Thank you so much.