Question

Pick out the solution of the equation $3x-5=19$ from the values $5,3,8,11$. Show that the other values do not satisfy the equation.

Answer 1

Step 1. Checking whether $5$satisfy the given equation or not:

Given equation, $3x-5=19$

If we put $x=5$ in then, $3x-5=\left(3\times 5\right)-5$

$=10$

But, $10$$\ne$ $19$

So, $5$ does not satisfy the given equation.

Step 2. Checking whether $3$ satisfy the given equation or not:

Given equation, $3x-5=19$

If we put $x=3$ in then, $3x-5=\left(3\times 3\right)-5$

$=4$

But, $4$ $\ne$ $19$

So, $3$ does not satisfy the given equation.

Step 3. Checking whether $8$ satisfy the given equation or not:

Given equation, $3x-5=19$

If we put $x=8$ in then, $3x-5=\left(3\times 8\right)-5$

$=19$

So, $8$ satisfies the given equation.

Step 4. Checking whether $11$ satisfy the given equation or not:

Given equation, $3x-5=19$

If we put $x=11$ in then, $3x-5=\left(3\times 11\right)-5$

$=28$

But, $28$ $\ne$ $19$

So, $11$ does not satisfy the given equation.

Hence, $8$ satisfies the equation $3x-5=19$.