In each part, determine whether the equation is linear in , , and . (a) (b)

Problem-1

Step-by-step solution

A linear equation in the n variables to be one that can expressed in the form

Where and b are real constants .

Step 1 of 6

(a) Consider the equation

It is needed to determine whether the equation is linear or not in and .

Observe the equation does not involve any products or roots of the variables and .

It is in the form with , , and which are all real constants .

All variables occur only to the first power and do not appear as arguments for trigonometric,logarithmic,or exponential functions.

Therefore,the equation is a linear equation.