Chapter 8.1, Problem 30WE

To determine

To find: The solution for the given equation.

Answer to Problem 30WE

The solution for the equations is shown in Table 1

Explanation of Solution

Given:

The given equation is $\left(x+6\right)y=7$ .

Calculation:

Consider the given equation is,

  $\left(x+6\right)y=7$

Then, the solution for the given equation is,

  $\begin{array}{l}\left(x+6\right)y=7\\ y=\frac{7}{x+6}\end{array}$

The table for different value of $y$ for different values of $x$ is shown in Table 1

Table 1

$x$	$y$	Whole Number Solution $(x,y)$
$1$	$\begin{array}{c}y=\frac{7}{1+6}\\ =1\end{array}$	$\left(1,1\right)$
$2$	$\begin{array}{c}y=\frac{7}{2+6}\\ =\frac{7}{8}\end{array}$	Not a solution