# How do you solve and check your solution given 4.1p=16.4?

Jun 15, 2017

See a solution process below:

#### Explanation:

Divide each side of the equation by $\textcolor{red}{4.1}$ to solve for $p$ while keeping the equation balanced:

$\frac{4.1 p}{\textcolor{red}{4.1}} = \frac{16.4}{\textcolor{red}{4.1}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4.1}}} p}{\cancel{\textcolor{red}{4.1}}} = 4$

$p = 4$

To check our solution we need to substitute $4$ for $p$ in the original equation and ensure both sides of the equation are equal.

$4.1 p = 16.4$ becomes:

$4.1 \times 4 = 16.4$

$16.4 = 16.4$

Because both sides of the equation are equal we know our solution is correct.

Jun 15, 2017

$p = \frac{16.4}{4.1}$

$p = 4$

$p \times 4.1 = 16.4$

$4 \times 4.1 = 16.4$

$16.4 = 16.4$

#### Explanation:

We know that:

$p \times 4.1 = 16.4$

If we divide both sides by $4.1$ we get

$\frac{p \times 4.1}{4.1} = \frac{16.4}{4.1}$

We can cancel out both $4.1$s on the left side of the equation - because if we multiply $p$ by any number and then divide $p$ by that number the answer is just $p$.

$p = \frac{16.4}{4.1}$

$p = 4$

We can check this is true by replacing $p$ with $4$ in the original question. If both sides are equal, then we have found the right answer.

$p \times 4.1 = 16.4$

$4 \times 4.1 = 16.4$

$16.4 = 16.4$