# Determine which equations are linear equations in the variables x, y, and z. If any equation is not linear, explain why not. 3\cos x-4y+z=\sqrt{3}

Determine which equations are linear equations in the variables x, y, and z. If any equation is not linear, explain why not.
$$3\cos x-4y+z=\sqrt{3}$$

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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.