Identifying linear equations

Question

State whether or not the following equation is a linear equation. Give a reason for
your answer.
y + 2z −1/2 = cos(3) − x

Answer 1

A linear equation in three variables is an equation that can be written in the form ax+by+cz=d, where a,b,c,d are real numbers.

 

The given equation can be rewritten as x + y + 2z = 1/2+cos3.

 

This equation fits the pattern of a linear equation in three variables where a=b=1, c=2, and d=1/2+cos3.