Réitigh cn+mSigmax=Sigmay

$$c n + m \Sigma x = \Sigma y$$

Réitigh do c. (complex solution)

$$\left\{\begin{matrix}c=-\frac{Σ\left(mx-y\right)}{n}\text{, }&n\neq 0\\c\in \mathrm{C}\text{, }&\left(m=\frac{y}{x}\text{ and }x\neq 0\text{ and }n=0\right)\text{ or }\left(y=0\text{ and }x=0\text{ and }n=0\right)\text{ or }\left(Σ=0\text{ and }n=0\right)\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Bain mΣx ón dá thaobh.

$$cn=Σy-mΣx$$

Athordaigh na téarmaí.

$$cn=-mxΣ+yΣ$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$nc=yΣ-mxΣ$$

Roinn an dá thaobh faoi n.

$$\frac{nc}{n}=\frac{Σ\left(y-mx\right)}{n}$$

Má roinntear é faoi n cuirtear an iolrúchán faoi n ar ceal.

$$c=\frac{Σ\left(y-mx\right)}{n}$$

Réitigh do m. (complex solution)

$$\left\{\begin{matrix}m=-\frac{cn-yΣ}{xΣ}\text{, }&x\neq 0\text{ and }Σ\neq 0\\m\in \mathrm{C}\text{, }&\left(c=\frac{yΣ}{n}\text{ and }n\neq 0\text{ and }x=0\right)\text{ or }\left(y=0\text{ and }n=0\text{ and }x=0\right)\text{ or }\left(c=0\text{ and }n\neq 0\text{ and }Σ=0\text{ and }x\neq 0\right)\text{ or }\left(Σ=0\text{ and }n=0\right)\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Bain cn ón dá thaobh.

$$mΣx=Σy-cn$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$xΣm=yΣ-cn$$

Roinn an dá thaobh faoi Σx.

$$\frac{xΣm}{xΣ}=\frac{yΣ-cn}{xΣ}$$

Má roinntear é faoi Σx cuirtear an iolrúchán faoi Σx ar ceal.

$$m=\frac{yΣ-cn}{xΣ}$$

Réitigh do c.

$$\left\{\begin{matrix}c=-\frac{Σ\left(mx-y\right)}{n}\text{, }&n\neq 0\\c\in \mathrm{R}\text{, }&\left(m=\frac{y}{x}\text{ and }x\neq 0\text{ and }n=0\right)\text{ or }\left(y=0\text{ and }x=0\text{ and }n=0\right)\text{ or }\left(Σ=0\text{ and }n=0\right)\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Bain mΣx ón dá thaobh.

$$cn=Σy-mΣx$$

Athordaigh na téarmaí.

$$cn=-mxΣ+yΣ$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$nc=yΣ-mxΣ$$

Roinn an dá thaobh faoi n.

$$\frac{nc}{n}=\frac{Σ\left(y-mx\right)}{n}$$

Má roinntear é faoi n cuirtear an iolrúchán faoi n ar ceal.

$$c=\frac{Σ\left(y-mx\right)}{n}$$

Réitigh do m.

$$\left\{\begin{matrix}m=-\frac{cn-yΣ}{xΣ}\text{, }&x\neq 0\text{ and }Σ\neq 0\\m\in \mathrm{R}\text{, }&\left(c=\frac{yΣ}{n}\text{ and }n\neq 0\text{ and }x=0\right)\text{ or }\left(y=0\text{ and }n=0\text{ and }x=0\right)\text{ or }\left(c=0\text{ and }n\neq 0\text{ and }Σ=0\text{ and }x\neq 0\right)\text{ or }\left(Σ=0\text{ and }n=0\right)\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Bain cn ón dá thaobh.

$$mΣx=Σy-cn$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$xΣm=yΣ-cn$$

Roinn an dá thaobh faoi Σx.

$$\frac{xΣm}{xΣ}=\frac{yΣ-cn}{xΣ}$$

Má roinntear é faoi Σx cuirtear an iolrúchán faoi Σx ar ceal.

$$m=\frac{yΣ-cn}{xΣ}$$