Category: Algebra

Question Number 212479 by hardmath last updated on 14/Oct/24 $$\{\begin{array}{l}2\mathrm{x}+3\mathrm{y}-\mathrm{z}=7\\ 4\mathrm{x}-\mathrm{y}+2\mathrm{z}=1\\ -\mathrm{x}+5\mathrm{y}+3\mathrm{z}=14\end{array}\mathrm{find}:\mathrm{x},\mathrm{y},\mathrm{z}=?$$ Answered by A5T last updated on 14/Oct/24 $$3\left(ii\right)+\left(i\right)\Rightarrow 14x+5z=10\dots \left(iv\right)$$$$5\left(ii\right)+\left(iii\right)\Rightarrow 19x+13z=19\dots \left(v\right)$$$$\mathrm{13}\left({iv}\right)−\mathrm{5}\left({v}\right)\Rightarrow\mathrm{87}{x}=\mathrm{35}\Rightarrow{x}=\frac{\mathrm{35}}{\mathrm{87}}\Rightarrow{z}=\frac{\mathrm{76}}{\mathrm{87}}\Rightarrow{y}=\frac{\mathrm{205}}{\mathrm{87}} \…

Question Number 212432 by hardmath last updated on 13/Oct/24 $$\frac{9}{2\cdot 4}+\frac{9}{4\cdot 6}+\dots +\frac{9}{4\mathrm{n}\cdot (\mathrm{n}+1)}=\frac{15}{8}$$$$\mathrm{Find}:\mathbf{n}=?$$ Answered by Ar Brandon last updated on 13/Oct/24 $$\mathrm{9}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{\mathrm{4}{n}\left({n}+\mathrm{1}\right)}=\frac{\mathrm{15}}{\mathrm{8}}…

Question Number 212427 by Spillover last updated on 13/Oct/24 Commented by Ghisom last updated on 13/Oct/24 $$-\frac{1}{10\times 10!}$$ Terms of Service Privacy Policy Contact:…

Question Number 212448 by hardmath last updated on 13/Oct/24 $$\mathrm{If}{\mathrm{x}}^2-\mathrm{x}+3=0$$$$\mathrm{Find}\mathrm{x}+\frac{9}{{\mathrm{x}}^2}=?$$ Answered by A5T last updated on 13/Oct/24 $${x}^{\mathrm{2}} −{x}+\mathrm{3}=\mathrm{0}\Rightarrow{x}^{\mathrm{3}}…

Question Number 212361 by Ari last updated on 11/Oct/24 Commented by Ari last updated on 11/Oct/24 $$howisthisequationsolved?$$ Commented by Ghisom last updated on…