Question Number 187124 by Rasheed.Sindhi last updated on 13/Feb/23
$$\frac{{a}}{{x}}=\frac{{b}}{{y}}=\frac{{c}}{{z}}=\frac{\mathrm{1}}{\mathrm{3}}\:, \\ $$$${a}−\mathrm{2}{b}+{c}=\mathrm{2}\:\:{and}\:\:−\mathrm{2}{y}+{z}=\mathrm{1}\:\:\:\: \\ $$$${x}=? \\ $$$${An}\:{altered}\:{form}\:{of}\:\:{q}#\mathrm{187020} \\ $$$$\left({In}\:{this}\:{case}\:{solveable}\right) \\ $$
Answered by HeferH last updated on 13/Feb/23
$${x}\:=\:\mathrm{3}{a}\: \\ $$$${y}\:=\:\mathrm{3}{b} \\ $$$${z}\:=\:\mathrm{3}{c} \\ $$$$\:{a}\:\:+\:{c}\:−\:\mathrm{2}{b}\:=\:\mathrm{2} \\ $$$$\:−\mathrm{2}\left(\mathrm{3}{b}\right)\:+\:\mathrm{3}{c}\:=\:\mathrm{1} \\ $$$$\:\mathrm{3}{c}\:−\:\mathrm{6}{b}\:=\:\mathrm{1} \\ $$$$\:{c}\:−\mathrm{2}{b}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\Rightarrow \\ $$$$\:{a}\:+\:\frac{\mathrm{1}}{\mathrm{3}}\:=\:\mathrm{2} \\ $$$$\:{a}\:=\:\frac{\mathrm{5}}{\mathrm{3}}\:\Rightarrow \\ $$$$\:{x}\:=\:\mathrm{3}\left(\frac{\mathrm{5}}{\mathrm{3}}\right)\:=\:\mathrm{5}\: \\ $$
Commented by Rasheed.Sindhi last updated on 14/Feb/23
$$\mathbb{T}\boldsymbol{\mathrm{han}}\Bbbk\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{sir}}! \\ $$
Answered by mr W last updated on 13/Feb/23
$$\mathrm{3}\left({a}−\mathrm{2}{b}+{c}\right)=\mathrm{3}×\mathrm{2} \\ $$$${x}−\mathrm{2}{y}+{z}=\mathrm{6} \\ $$$${x}+\mathrm{1}=\mathrm{6} \\ $$$${x}=\mathrm{5} \\ $$
Commented by Rasheed.Sindhi last updated on 14/Feb/23
$${Smart}\:{approach}! \\ $$
Commented by Rasheed.Sindhi last updated on 14/Feb/23
$$\boldsymbol{\mathcal{T}{han}\mathcal{X}}\:\boldsymbol{{sir}}! \\ $$