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

Determine which equations are linear equations in the variables x, y, and z. If any equation is not linear, explain why not.
$\left(\mathrm{cos}3\right)x-4y+z=\sqrt{3}$
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Given,
$\left(\mathrm{cos}3\right)x-4y+z=\sqrt{3}$
Step 2
The general linear equation in three variables is in the form of
$ax+by+cz=d$, where $a,b,c,$$d\in R$
The given equation is in the form of
$ax+by+cz=d$
where $a=\mathrm{cos}3$, $b=-4,c=1,$ & $d=\sqrt{3}$
Hence given equation is a linear equation.