Réitigh y=x+72-93xdiv24y+4z

$$y=x+72-93x \div 24y+4z$$

Réitigh do x. (complex solution)

$$\left\{\begin{matrix}x=-\frac{8\left(72+4z-y\right)}{8-31y}\text{, }&y\neq \frac{8}{31}\\x\in \mathrm{C}\text{, }&y=\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Roinn 93x faoi 24 chun \frac{31}{8}x a fháil.

$$y=x+72-\frac{31}{8}xy+4z$$

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

$$x+72-\frac{31}{8}xy+4z=y$$

Bain 72 ón dá thaobh.

$$x-\frac{31}{8}xy+4z=y-72$$

Bain 4z ón dá thaobh.

$$x-\frac{31}{8}xy=y-72-4z$$

Comhcheangail na téarmaí ar fad ina bhfuil x.

$$\left(1-\frac{31}{8}y\right)x=y-72-4z$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(-\frac{31y}{8}+1\right)x=y-4z-72$$

Roinn an dá thaobh faoi 1-\frac{31}{8}y.

$$\frac{\left(-\frac{31y}{8}+1\right)x}{-\frac{31y}{8}+1}=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Má roinntear é faoi 1-\frac{31}{8}y cuirtear an iolrúchán faoi 1-\frac{31}{8}y ar ceal.

$$x=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Roinn y-72-4z faoi 1-\frac{31}{8}y.

$$x=\frac{8\left(y-4z-72\right)}{8-31y}$$

Réitigh do y. (complex solution)

$$\left\{\begin{matrix}y=\frac{8\left(x+4z+72\right)}{31x+8}\text{, }&x\neq -\frac{8}{31}\\y\in \mathrm{C}\text{, }&x=-\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Roinn 93x faoi 24 chun \frac{31}{8}x a fháil.

$$y=x+72-\frac{31}{8}xy+4z$$

Cuir \frac{31}{8}xy leis an dá thaobh.

$$y+\frac{31}{8}xy=x+72+4z$$

Comhcheangail na téarmaí ar fad ina bhfuil y.

$$\left(1+\frac{31}{8}x\right)y=x+72+4z$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(\frac{31x}{8}+1\right)y=x+4z+72$$

Roinn an dá thaobh faoi 1+\frac{31}{8}x.

$$\frac{\left(\frac{31x}{8}+1\right)y}{\frac{31x}{8}+1}=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Má roinntear é faoi 1+\frac{31}{8}x cuirtear an iolrúchán faoi 1+\frac{31}{8}x ar ceal.

$$y=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Roinn x+72+4z faoi 1+\frac{31}{8}x.

$$y=\frac{8\left(x+4z+72\right)}{31x+8}$$

Réitigh do x.

$$\left\{\begin{matrix}x=-\frac{8\left(72+4z-y\right)}{8-31y}\text{, }&y\neq \frac{8}{31}\\x\in \mathrm{R}\text{, }&y=\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Roinn 93x faoi 24 chun \frac{31}{8}x a fháil.

$$y=x+72-\frac{31}{8}xy+4z$$

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

$$x+72-\frac{31}{8}xy+4z=y$$

Bain 72 ón dá thaobh.

$$x-\frac{31}{8}xy+4z=y-72$$

Bain 4z ón dá thaobh.

$$x-\frac{31}{8}xy=y-72-4z$$

Comhcheangail na téarmaí ar fad ina bhfuil x.

$$\left(1-\frac{31}{8}y\right)x=y-72-4z$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(-\frac{31y}{8}+1\right)x=y-4z-72$$

Roinn an dá thaobh faoi 1-\frac{31}{8}y.

$$\frac{\left(-\frac{31y}{8}+1\right)x}{-\frac{31y}{8}+1}=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Má roinntear é faoi 1-\frac{31}{8}y cuirtear an iolrúchán faoi 1-\frac{31}{8}y ar ceal.

$$x=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Roinn y-72-4z faoi 1-\frac{31}{8}y.

$$x=\frac{8\left(y-4z-72\right)}{8-31y}$$

Réitigh do y.

$$\left\{\begin{matrix}y=\frac{8\left(x+4z+72\right)}{31x+8}\text{, }&x\neq -\frac{8}{31}\\y\in \mathrm{R}\text{, }&x=-\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Roinn 93x faoi 24 chun \frac{31}{8}x a fháil.

$$y=x+72-\frac{31}{8}xy+4z$$

Cuir \frac{31}{8}xy leis an dá thaobh.

$$y+\frac{31}{8}xy=x+72+4z$$

Comhcheangail na téarmaí ar fad ina bhfuil y.

$$\left(1+\frac{31}{8}x\right)y=x+72+4z$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(\frac{31x}{8}+1\right)y=x+4z+72$$

Roinn an dá thaobh faoi 1+\frac{31}{8}x.

$$\frac{\left(\frac{31x}{8}+1\right)y}{\frac{31x}{8}+1}=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Má roinntear é faoi 1+\frac{31}{8}x cuirtear an iolrúchán faoi 1+\frac{31}{8}x ar ceal.

$$y=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Roinn x+72+4z faoi 1+\frac{31}{8}x.

$$y=\frac{8\left(x+4z+72\right)}{31x+8}$$