An interdisciplinary researcher is analyzing a system where the variables $q$ and $r$ are related by the equation $2q + 3r = 12$. If $q = 3$, determine the value of $5r - q$.

Sat, 02 May 2026 17:30:40 +0000

Interdisciplinary Research Insight: Solving a Linear System to Analyze Variables $q$ and $r$ In interdisciplinary research, understanding the relationships between variables is key to uncovering hidden patterns and solving complex problems across fields such as physics, engineering, economics, and data science. One such foundational approach involves analyzing linear equations that model real-world systems. Consider the system defined by the equation: $$
2q + 3r = 12
$$