Réitigh [35Y_{3}+(-9Y_{3})-25Y]-(+2XY-3Y_{3}-5Y)=-2.0385D_{0}

$$[ 35 Y _ { 3 } + ( - 9 Y _ { 3 } ) - 25 Y ] - ( + 2 X Y - 3 Y _ { 3 } - 5 Y ) = - 2.0385 D _ { 0 }$$

Réitigh do X. (complex solution)

$$\left\{\begin{matrix}X=\frac{4077D_{0}-40000Y+58000Y_{3}}{4000Y}\text{, }&Y\neq 0\\X\in \mathrm{C}\text{, }&Y_{3}=-\frac{4077D_{0}}{58000}\text{ and }Y=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Comhcheangail 35Y_{3} agus -9Y_{3} chun 26Y_{3} a fháil.

$$26Y_{3}-25Y-\left(2XY-3Y_{3}-5Y\right)=-2.0385D_{0}$$

Chun an mhalairt ar 2XY-3Y_{3}-5Y a aimsiú, aimsigh an mhalairt ar gach téarma.

$$26Y_{3}-25Y-2XY+3Y_{3}+5Y=-2.0385D_{0}$$

Comhcheangail 26Y_{3} agus 3Y_{3} chun 29Y_{3} a fháil.

$$29Y_{3}-25Y-2XY+5Y=-2.0385D_{0}$$

Comhcheangail -25Y agus 5Y chun -20Y a fháil.

$$29Y_{3}-20Y-2XY=-2.0385D_{0}$$

Bain 29Y_{3} ón dá thaobh.

$$-20Y-2XY=-2.0385D_{0}-29Y_{3}$$

Cuir 20Y leis an dá thaobh.

$$-2XY=-2.0385D_{0}-29Y_{3}+20Y$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(-2Y\right)X=-\frac{4077D_{0}}{2000}+20Y-29Y_{3}$$

Roinn an dá thaobh faoi -2Y.

$$\frac{\left(-2Y\right)X}{-2Y}=\frac{-\frac{4077D_{0}}{2000}+20Y-29Y_{3}}{-2Y}$$

Má roinntear é faoi -2Y cuirtear an iolrúchán faoi -2Y ar ceal.

$$X=\frac{-\frac{4077D_{0}}{2000}+20Y-29Y_{3}}{-2Y}$$

Roinn -29Y_{3}-\frac{4077D_{0}}{2000}+20Y faoi -2Y.

$$X=\frac{\frac{29Y_{3}}{2}+\frac{4077D_{0}}{4000}}{Y}-10$$

Réitigh do D_0.

$$D_{0}=\frac{4000XY+40000Y-58000Y_{3}}{4077}$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Comhcheangail 35Y_{3} agus -9Y_{3} chun 26Y_{3} a fháil.

$$26Y_{3}-25Y-\left(2XY-3Y_{3}-5Y\right)=-2.0385D_{0}$$

Chun an mhalairt ar 2XY-3Y_{3}-5Y a aimsiú, aimsigh an mhalairt ar gach téarma.

$$26Y_{3}-25Y-2XY+3Y_{3}+5Y=-2.0385D_{0}$$

Comhcheangail 26Y_{3} agus 3Y_{3} chun 29Y_{3} a fháil.

$$29Y_{3}-25Y-2XY+5Y=-2.0385D_{0}$$

Comhcheangail -25Y agus 5Y chun -20Y a fháil.

$$29Y_{3}-20Y-2XY=-2.0385D_{0}$$

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$-2.0385D_{0}=29Y_{3}-20Y-2XY$$

Roinn an dá thaobh den chothromóid faoi -2.0385, arb ionann é sin agus an dá thaobh a mhéadú faoi dheilín an chodáin.

$$\frac{-2.0385D_{0}}{-2.0385}=\frac{29Y_{3}-20Y-2XY}{-2.0385}$$

Má roinntear é faoi -2.0385 cuirtear an iolrúchán faoi -2.0385 ar ceal.

$$D_{0}=\frac{29Y_{3}-20Y-2XY}{-2.0385}$$

Roinn 29Y_{3}-20Y-2XY faoi -2.0385 trí 29Y_{3}-20Y-2XY a mhéadú faoi dheilín -2.0385.

$$D_{0}=\frac{4000XY+40000Y-58000Y_{3}}{4077}$$

Réitigh do X.

$$\left\{\begin{matrix}X=\frac{4077D_{0}-40000Y+58000Y_{3}}{4000Y}\text{, }&Y\neq 0\\X\in \mathrm{R}\text{, }&Y_{3}=-\frac{4077D_{0}}{58000}\text{ and }Y=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Comhcheangail 35Y_{3} agus -9Y_{3} chun 26Y_{3} a fháil.

$$26Y_{3}-25Y-\left(2XY-3Y_{3}-5Y\right)=-2.0385D_{0}$$

Chun an mhalairt ar 2XY-3Y_{3}-5Y a aimsiú, aimsigh an mhalairt ar gach téarma.

$$26Y_{3}-25Y-2XY+3Y_{3}+5Y=-2.0385D_{0}$$

Comhcheangail 26Y_{3} agus 3Y_{3} chun 29Y_{3} a fháil.

$$29Y_{3}-25Y-2XY+5Y=-2.0385D_{0}$$

Comhcheangail -25Y agus 5Y chun -20Y a fháil.

$$29Y_{3}-20Y-2XY=-2.0385D_{0}$$

Bain 29Y_{3} ón dá thaobh.

$$-20Y-2XY=-2.0385D_{0}-29Y_{3}$$

Cuir 20Y leis an dá thaobh.

$$-2XY=-2.0385D_{0}-29Y_{3}+20Y$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(-2Y\right)X=-\frac{4077D_{0}}{2000}+20Y-29Y_{3}$$

Roinn an dá thaobh faoi -2Y.

$$\frac{\left(-2Y\right)X}{-2Y}=\frac{-\frac{4077D_{0}}{2000}+20Y-29Y_{3}}{-2Y}$$

Má roinntear é faoi -2Y cuirtear an iolrúchán faoi -2Y ar ceal.

$$X=\frac{-\frac{4077D_{0}}{2000}+20Y-29Y_{3}}{-2Y}$$

Roinn -29Y_{3}-\frac{4077D_{0}}{2000}+20Y faoi -2Y.

$$X=\frac{\frac{29Y_{3}}{2}+\frac{4077D_{0}}{4000}}{Y}-10$$