Whakaoti i te 5*4ell-1/2ell-766mell=quadmell

$$5 \cdot 4 \ell - \frac { 1 } { 2 } \ell - 766 m \ell = \quad m \ell$$

Whakaoti mō m

$$\left\{\begin{matrix}\\m=\frac{3}{118}\approx 0.025423729\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&ℓ=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 5 ki te 4, ka 20.

$$20ℓ-\frac{1}{2}ℓ-766mℓ=mℓ$$

Pahekotia te 20ℓ me -\frac{1}{2}ℓ, ka \frac{39}{2}ℓ.

$$\frac{39}{2}ℓ-766mℓ=mℓ$$

Tangohia te mℓ mai i ngā taha e rua.

$$\frac{39}{2}ℓ-766mℓ-mℓ=0$$

Pahekotia te -766mℓ me -mℓ, ka -767mℓ.

$$\frac{39}{2}ℓ-767mℓ=0$$

Tangohia te \frac{39}{2}ℓ mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-767mℓ=-\frac{39}{2}ℓ$$

He hanga arowhānui tō te whārite.

$$\left(-767ℓ\right)m=-\frac{39ℓ}{2}$$

Whakawehea ngā taha e rua ki te -767ℓ.

$$\frac{\left(-767ℓ\right)m}{-767ℓ}=-\frac{\frac{39ℓ}{2}}{-767ℓ}$$

Mā te whakawehe ki te -767ℓ ka wetekia te whakareanga ki te -767ℓ.

$$m=-\frac{\frac{39ℓ}{2}}{-767ℓ}$$

Whakawehe -\frac{39ℓ}{2} ki te -767ℓ.

$$m=\frac{3}{118}$$

Whakaoti mō ℓ

$$\left\{\begin{matrix}\\ℓ=0\text{, }&\text{unconditionally}\\ℓ\in \mathrm{R}\text{, }&m=\frac{3}{118}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 5 ki te 4, ka 20.

$$20ℓ-\frac{1}{2}ℓ-766mℓ=mℓ$$

Pahekotia te 20ℓ me -\frac{1}{2}ℓ, ka \frac{39}{2}ℓ.

$$\frac{39}{2}ℓ-766mℓ=mℓ$$

Tangohia te mℓ mai i ngā taha e rua.

$$\frac{39}{2}ℓ-766mℓ-mℓ=0$$

Pahekotia te -766mℓ me -mℓ, ka -767mℓ.

$$\frac{39}{2}ℓ-767mℓ=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te ℓ.

$$\left(\frac{39}{2}-767m\right)ℓ=0$$

Whakawehe 0 ki te \frac{39}{2}-767m.

$$ℓ=0$$