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Find the equation of the line through the intersection of `5x-3y=1`and `2x-3y -23= 0`and perpendicular to the line `5x - 3y -1 =0`.

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To find the equation of the line through the intersection of the lines \(5x - 3y = 1\) and \(2x - 3y - 23 = 0\) that is also perpendicular to the line \(5x - 3y - 1 = 0\), we can follow these steps: ### Step 1: Find the point of intersection of the two given lines. We have the equations: 1. \(5x - 3y = 1\) (Equation 1) 2. \(2x - 3y - 23 = 0\) (Equation 2) We can rewrite Equation 2 as: ...
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