Question Number 188560 by 073 last updated on 03/Mar/23
Answered by Rasheed.Sindhi last updated on 03/Mar/23
$${Let}\:{P}\left({x}\right)={ax}+{b} \\ $$$${P}\left(\mathrm{2}{x}\right)={a}\left(\mathrm{2}{x}\right)+{b}=\mathrm{2}{ax}+{b} \\ $$$${P}\left({x}\right)+{P}\left(\mathrm{2}{x}\right)=\mathrm{6}{x}+\mathrm{12} \\ $$$$\left({ax}+{b}\right)+\left(\mathrm{2}{ax}+{b}\right)=\mathrm{6}{x}+\mathrm{12} \\ $$$$\mathrm{3}{ax}+\mathrm{2}{b}=\mathrm{6}{x}+\mathrm{12} \\ $$$$\mathrm{3}{a}=\mathrm{6}\Rightarrow{a}=\mathrm{2} \\ $$$$\mathrm{2}{b}=\mathrm{12}\Rightarrow{b}=\mathrm{6} \\ $$$${P}\left({x}\right)={ax}+{b}=\mathrm{2}{x}+\mathrm{6} \\ $$$${P}\left(\mathrm{3}\right)=\mathrm{2}\left(\mathrm{3}\right)+\mathrm{6}=\mathrm{12} \\ $$
Commented by 073 last updated on 03/Mar/23
$$\mathrm{thanks}\:\mathrm{alot} \\ $$
Answered by cortano12 last updated on 03/Mar/23
$$\mathrm{P}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{6}\Rightarrow\mathrm{P}\left(\mathrm{3}\right)=\mathrm{12} \\ $$
Commented by 073 last updated on 03/Mar/23
$$\mathrm{solution}\:\mathrm{please} \\ $$