Questions: Math and Physics Identifying solutions to a linear equation II For each value of w, determine whether it is a solution to 76=6-7w. w Is it a solution? Yes No --------- 6 0 ? -10 0 0 -4 0 0 3 0 0

Math and Physics Identifying solutions to a linear equation II For each value of w, determine whether it is a solution to 76=6-7w. w Is it a solution? Yes No --------- 6 0 ? -10 0 0 -4 0 0 3 0 0
Transcript text: Math and Physics Identifying solutions to a linear equation II For each value of $w$, determine whether it is a solution to $76=6-7 w$. \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{$w$} & Is it a solution? \\ \cline { 2 - 3 } & Yes & No \\ \hline 6 & 0 & $?$ \\ \hline-10 & 0 & 0 \\ \hline-4 & 0 & 0 \\ \hline 3 & 0 & 0 \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Isolate $w$

To solve the equation $aw + b = c$, we first isolate $w$ by subtracting $b$ from both sides to get $aw = c - b$.

Step 2: Solve for $w$

Then, we divide both sides by $a$ to find $w = \frac{c - b}{a} = \frac{76 - 6}{-7} = -10.$

Final Answer:

The given value(s) of $w$ that solve the equation are: -10.

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