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\begin{tabular}{l} Solve for w. \\ \( \qquad-a+117=203 \) \\ \hline\( x=\square \)\end{tabular}

Ask by Page Reeves. in the United States
Jan 21,2025

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Answer

\( x = -86 \)

Solution

To solve the equation \(-a + 117 = 203\) for \(a\), follow these steps: 1. **Start with the given equation:** \[ -a + 117 = 203 \] 2. **Subtract 117 from both sides to isolate the term with \(a\):** \[ -a = 203 - 117 \] \[ -a = 86 \] 3. **Multiply both sides by \(-1\) to solve for \(a\):** \[ a = -86 \] Therefore, the solution is: \[ a = -86 \] If we replace \(a\) with \(x\) as indicated in the table, then: \[ x = -86 \] \[ x = -86 \]

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The Deep Dive

To solve for \( a \), start by isolating it on one side of the equation. You can do this by subtracting 117 from both sides: \[ -a + 117 - 117 = 203 - 117 \] This simplifies to: \[ -a = 86 \] Now, to solve for \( a \), multiply both sides by -1: \[ a = -86 \] Thus, \( a = \square -86 \). Now, let's have some fun! Ever think about how numbers can tell a story? Think of the equation as a little mystery; you had to uncover the hidden 'a' that was playing hide and seek on the left side! And if you find yourself messing up the negative signs (oh, those pesky negatives!), just remember: they’re like that friend who always likes to flip the script. Keep it in mind next time you're solving equations!

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