Question

use matrix method to solve the equation 2x-y+3z=9, x+y+z=6, x-y+z=2

Answer 1

let, 2x - y + 3z = 9 as equation 1
similarly ,x + y + z = 6 as equation 2
and x - y + z = 2 as equation 3

Now, let's add the equation 2 and 3
that's, 2x + 2z = 8 ..........{equation 4}

Now subtracting the equation 1 by 4 we get,
-y + z = 1
=> z - y = 1 ...........{equation 5}

plotting the value of z - y in equation 3 we get the value of x = 1

Now placing the value of x in equation 2 we get, y + z = 5 ............{equation 6}

Now add equation 5 and 6 we get,
z = 3

So, y = 2

That's it
Hope it helped (≧∇≦)b