Step 1

Any equation in three variable x, y and z is a linear equation if the equation is in the form of

\(ax+by+cz+d=0\)

Where a, b, c and d are constant.

Step 2

Given equation:

\(3\cos x-4y+z=\sqrt{3}\)...(1)

Since given equation (1) is not in the form of \(ax+by+cz+d=0\), so given equation is not a linear equation.

Step 3

Hence given equation is not a linear equation.