Chapter EP, Problem 2.2.5EP

To determine

To find: The standard form of the given equation and hence identify $A,B,C$ .

Answer to Problem 2.2.5EP

The standard form is $x-y=-7$ and $A=1,B=-1,C=-7$ .

Explanation of Solution

Given:

The given equation is:

  $x+7=y\dots \left(1\right)$

The standard form of a linear equation is $Ax+By=C$ , where $A,B,C$ are integers with a greatest common factor of $1$ , $A\ge 0$ and $A,B$ are not both zero.

The standard form is calculated as:

  $\begin{array}{c}x+7=y\\ x-y=-7\end{array}$

By comparing the above equation with the standard equation of linear equation, the value of $A,B,C$ are given as:

  $\begin{array}{c}A=1\\ B=-1\\ C=-7\end{array}$

Therefore the standard form is $x-y=-7$ and $A=1,B=-1,C=-7$ .