Which values of constant k does the system of linear equations give exactly one solution (x1)+(4x)(2)=1 and (3)(x1) + (12)(x2) = k

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Is this the system you are trying to solve?
$$x_1 + 4x_2 = 1$$
$$3x_1 + 12 x_2 = k$$

Yes

Is it any number except 3?

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