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In Math / Senior High School | 2024-09-08

2. Find g(q), where g(q) output the value of r with the given equation;-7q +12r=3q -4r​

Asked by charlizepontiga

Answer (1)

Step-by-step explanation:To find \( g(q) \), we need to solve the equation \(-7q + 12r = 3q - 4r\) for \( r \).1. Start with the original equation: \[ -7q + 12r = 3q - 4r \]2. Rearrange the equation by collecting all terms involving \( r \) on one side and \( q \) on the other side: \[ 12r + 4r = 3q + 7q \] This simplifies to: \[ 16r = 10q \]3. Now, divide both sides by 16 to solve for \( r \): \[ r = \frac{10q}{16} \] Simplifying this gives: \[ r = \frac{5q}{8} \]Thus, the function \( g(q) \) can be expressed as:\[g(q) = \frac{5q}{8}

Answered by romnickpallon | 2024-09-08