Solve by elimination method x2y6z 7 4x6y8z12 2xyz 5Solutio

Solve by elimination method

x-2y+6z = 7

4x-6y+8z=-12

-2x-y+z = 5

Solution

x-2y+6z=7 (i)

2x-3y+4z=-6 (ii)

-2x-y+z=5. (iii)

Add (ii) and (iii)

-4y+5z=-1. (iv)

Perform operation 2*(i) + (iii)

-5y+13z=19 (v)

Perform 5(iv)-4(v)

we get

z=3

Now put in (iv)

y=4

Now put these values of x and y in (i)

We get

x=-3

Hence solution

x=-3

y=4

z=3