Determine which equations are linear equations in the variables x, y, and z. If

Given,
${\displaystyle \left(\cos 3\right)x-4y+z=\sqrt{3}}$
Step 2
The general linear equation in three variables is in the form of
$ax+by+cz=d$, where $a,b,c,$${\displaystyle d\in R}$
The given equation is in the form of
$ax+by+cz=d$
where ${\displaystyle a=\cos 3}$, $b=-4,c=1,$ & ${\displaystyle d=\sqrt{3}}$
Hence given equation is a linear equation.