# 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 w hy not.
$$\displaystyle{x}-\pi{y}+\sqrt[3]{5}={0}$$

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Step 1
Consider the given equation $$\displaystyle{x}-\pi{y}+\sqrt[3]{5}={0}$$.
Step 2
Coefficient of x is 1, that of y is -π, and that of z is $$\sqrt[3]{5}$$.
Since all these coefficients are constant $$(\displaystyle{1},\pi,\sqrt[3]{5})$$, and the constant term, (that is, 0) is also constant.
Thus, it can be concluded that the given equation $$\displaystyle{x}-\pi{y}+\sqrt[3]{5}={0}$$ is linear.