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For what value(s) of alpha will the syst...

For what value(s) of `alpha` will the system of linear equations `alphax + 3y = alpha - 3` and `12x + alpha y = alpha` has a unique solution?

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To find the value(s) of `alpha` for which the system of linear equations has a unique solution, we can follow these steps: ### Step 1: Write the equations in standard form The given equations are: 1. \( \alpha x + 3y = \alpha - 3 \) 2. \( 12x + \alpha y = \alpha \) We can rewrite them in the standard form \( A_1x + B_1y + C_1 = 0 \) and \( A_2x + B_2y + C_2 = 0 \). ...
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