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Find the value of k for which the system...

Find the value of k for which the system of equations 2x + ky = 1 and 3x - 5y = 7 has a unique solution.

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To find the value of \( k \) for which the system of equations \( 2x + ky = 1 \) and \( 3x - 5y = 7 \) has a unique solution, we follow these steps: ### Step 1: Rewrite the equations in standard form We start by rewriting both equations in the standard form \( Ax + By + C = 0 \). 1. For the first equation \( 2x + ky = 1 \): \[ 2x + ky - 1 = 0 ...
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