Question

*DAU COROANĂ*
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Answer 1

$\it a)\ 7x+14=-56|_{:7} \Rightarrow x+2=-8|_{-2} \Rightarrow x=-10\\ \\ b)\ 11x-33=77|_{:11} \Rightarrow x-3\ =\ 7|_{+3} \Rightarrow\ \ x=10\\ \\ c)\ 19x+1=172|_{-1} \Rightarrow 19x=171|_{:19} \Rightarrow x=9\\ \\ d)\ -51x+24=177|_{-24} \Rightarrow -51x=153|_{:(-51)} \Rightarrow x=-3\\ \\ e)\ 6x+2=-46|_{-2} \Rightarrow 6x=-48|_{:6} \Rightarrow x=-8\\ \\ f)\ -7x-5=-5 \Rightarrow -7x=-5+5 \Rightarrow -7x=0 \Rightarrow x=0$

$\it \\ \\ j)\ 6x-2=-11|_{+2}\Rightarrow6x=-9|_{:3}\Rightarrow 2x=-3\Rightarrow x=-\dfrac{3}{2}\not\in\mathbb{Z}\\ \\ i)\ 15x+24=-81|_{-24} \Rightarrow 15x=-105|_{:15} \Rightarrow x=-7$