<ul data-eligibleForWebStory="true"><li>When faced with simultaneous equations that are not easily solvable by direct substitution or elimination, a common strategy is to add and subtract the equations.</li><li>By adding and subtracting the given equations, interesting patterns might emerge that can simplify the problem through algebraic manipulation.</li><li>In the context of the Harvard Math Tournament Brain Teaser for 2024, combining the equations after adding and subtracting revealed a conjugate pattern on the left-hand side.</li><li>The approach of adding and subtracting equations can be a helpful technique in solving complex simultaneous equations, as demonstrated in this brain teaser.</li></ul>

Harvard Math Tournament Brain Teaser (2024)

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