Question

Complete the following table and by inspection of the table find the solution of the equation $17-3y=5$.

$y$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$.....$
$17-3y$	$.....$	$.....$	$.....$	$.....$	$.....$	$.....$	$.....$	$.....$	$.....$	$.....$

Answer 1

Step 1. Finding the value of the expression for different values of $y$.

For, $y=0,$

$17-3y=17-\left(3\times 0\right)=17$.

So for $y=0$, the value of the expression $17-3y$is $17$.

For, $y=1,$

$17-3y=17-\left(3\times 1\right)=14$.

So for $y=1$, the value of the expression $17-3y$is $14$.

For, $y=2,$

$17-3y=17-\left(3\times 2\right)=11$.

So for $y=2$, the value of the expression $17-3y$is $11$.

For, $y=3,$

$17-3y=17-\left(3\times 3\right)=8$.

So for $y=3$, the value of the expression $17-3y$is $8$.

For, $y=4,$

$17-3y=17-\left(3\times 4\right)=5$.

So for $y=4$, the value of the expression $17-3y$is $5$.

For, $y=5,$

$17-3y=17-\left(3\times 5\right)=2$.

So for $y=5$, the value of the expression $17-3y$is $2$.

For, $y=6,$

$17-3y=17-\left(3\times 6\right)=-1$.

So for $y=6$, the value of the expression $17-3y$is $-1$.

For, $y=7,$

$17-3y=17-\left(3\times 7\right)=-4$.

So for $y=7$, the value of the expression $17-3y$is $-4$.

For, $y=8,$

$17-3y=17-\left(3\times 8\right)=-7$.

So for $y=8$, the value of the expression $17-3y$is $-7$.

Now, the complete table is as follows:

$y$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$.....$
$17-3y$	$17$	$14$	$11$	$8$	$5$	$2$	$-1$	$-4$	$-7$	$.....$

Step 2. Finding the solution to the equation:

Given equation, $17-3y=5$.

From the table, we find, for $y=4$, the value of the expression $17-3y$is $5$.

So, $y=4$ is the solution of the equation, $17-3y=5$.

Hence, the solution of the equation, $17-3y=5$ is $y=4$.