Situation \#6) Use situations \( 1-5 \) and match each situation to the equation below: \( \begin{array}{l}-7 x+9=10 \\ -7+30 x=9 \\ -9 x+7=30\end{array} \)

Let's break down the equations! First up, we have the equation \(-7x + 9 = 10\). If you isolate \(x\), it hints at a scenario where you start with 9 and want to balance it to equal 10 through some action that involves subtracting a multiple of \(-7\). Maybe in this case, you're trying to reduce a supply. Next, \(-7 + 30x = 9\) tells us that you begin with a deficit of 7 and need to generate enough (30 times some value of \(x\)) to reach a total of 9. This might represent a financial scenario where an investment yields returns. The last one, \(-9x + 7 = 30\), means you're starting with 7 and you’re losing a quantity that’s 9 times some \(x\) until it balances out at 30. This could be related to depreciation or loss in an inventory situation where you're accounting for the remaining value after heavy losses. Are you ready to put these equations in the right situations? Have fun connecting them!