Chapter 4, Problem 1RE

Determine whether the algebraic equation is linear.

$2x+3y=7$

To determine

Whether the given algebraic equation is linear.

Answer to Problem 1RE

Yes, the given algebraic equation is linear.

Explanation of Solution

Given:

Algebraic equation is given by

  $2x+3y=7$

Concept Used:

An algebraic equation is said to be linear if it is of degree one.

Calculation:

Algebraic equation is given by

  $2x+3y=7$

Which can be rewritten as

  $y=\frac{-2}{3}x+\frac{7}{3}$

As given algebraic equation is of degree one, hence it is said to be linear.