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Question Number 36714 by Rio Mike last updated on 04/Jun/18

Given the matrix   (((3c+1        5 )),((c              c)) ) is singular   find the value of c and   find x if y = mx + c are all  natural numbers

$${Given}\:{the}\:{matrix} \\ $$$$\begin{pmatrix}{\mathrm{3}{c}+\mathrm{1}\:\:\:\:\:\:\:\:\mathrm{5}\:}\\{{c}\:\:\:\:\:\:\:\:\:\:\:\:\:\:{c}}\end{pmatrix}\:{is}\:{singular}\: \\ $$$${find}\:{the}\:{value}\:{of}\:{c}\:{and}\: \\ $$$${find}\:{x}\:{if}\:{y}\:=\:{mx}\:+\:{c}\:{are}\:{all} \\ $$$${natural}\:{numbers} \\ $$$$ \\ $$

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