# How do you solve and check your solutions to 7.2y+4.7=62.3?

Apr 25, 2017

$y = 8$

#### Explanation:

Don't like decimals so lets get rid of them. Multiply (all of) both sides by 10 giving:

$72 y + 47 = 623$

Subtract 47 from both sides

$72 y = 576$

Divide both sides by 72

$y = 8$
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Check: Given that the right hand side is 62.3 consider just the left hand side

$\textcolor{red}{7.2 \left(8\right)} \textcolor{b l u e}{+ 4.7}$

$\textcolor{red}{56 + 1.6} \textcolor{b l u e}{+ 4.7}$

$56.0$
$\textcolor{w h i t e}{0} 1.6$
$\underline{\textcolor{w h i t e}{0} 4.7} \leftarrow \text{ add}$
$62.3$

LHS=RHS" for "y=8color(red)(" Thus true")