# 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.
$3\mathrm{cos}x-4y+z=\sqrt{3}$
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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:
$3\mathrm{cos}x-4y+z=\sqrt{3}$...(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.
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