Question

What should be added to the sum of x-2y+z and 3y-4x+2z to get 4x-y+6z

Answer 1

Lets assume ax + by + cz is to be added

First find sum

(x-2y+z) + (-4x+3y+2z)

x-4x-2y+3y+z+2z

-3x+y+3z

Now add the eq. in the sum above

(-3x+y+3z)+(ax+by+cz) = 4x-y+6z

ax+by+cz = (4x-y+6z)-(-3x+y+3z)

ax+by+cz = 4x-y+6z +3x-y-3z

ax+by+cz = 7x-2y+3z

So we get desired eq. that is to be added

7x -2y + 3z


Thanks