Whakaoti i te [35Y_{3}+(-9Y_{3})-25Y]-(+2XY-3Y_{3}-5Y)=-20385D_{0}

$$[ 35 Y _ { 3 } + ( - 9 Y _ { 3 } ) - 25 Y ] - ( + 2 X Y - 3 Y _ { 3 } - 5 Y ) = - 20385 D _ { 0 }$$

Whakaoti mō D_0

$$D_{0}=\frac{2XY}{20385}+\frac{4Y}{4077}-\frac{29Y_{3}}{20385}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 35Y_{3} me -9Y_{3}, ka 26Y_{3}.

$$26Y_{3}-25Y-\left(2XY-3Y_{3}-5Y\right)=-20385D_{0}$$

Hei kimi i te tauaro o 2XY-3Y_{3}-5Y, kimihia te tauaro o ia taurangi.

$$26Y_{3}-25Y-2XY+3Y_{3}+5Y=-20385D_{0}$$

Pahekotia te 26Y_{3} me 3Y_{3}, ka 29Y_{3}.

$$29Y_{3}-25Y-2XY+5Y=-20385D_{0}$$

Pahekotia te -25Y me 5Y, ka -20Y.

$$29Y_{3}-20Y-2XY=-20385D_{0}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$-20385D_{0}=29Y_{3}-20Y-2XY$$

Whakawehea ngā taha e rua ki te -20385.

$$\frac{-20385D_{0}}{-20385}=\frac{29Y_{3}-20Y-2XY}{-20385}$$

Mā te whakawehe ki te -20385 ka wetekia te whakareanga ki te -20385.

$$D_{0}=\frac{29Y_{3}-20Y-2XY}{-20385}$$

Whakawehe 29Y_{3}-20Y-2XY ki te -20385.

$$D_{0}=\frac{2XY}{20385}+\frac{4Y}{4077}-\frac{29Y_{3}}{20385}$$

Whakaoti mō X

$$\left\{\begin{matrix}X=-\frac{-20385D_{0}+20Y-29Y_{3}}{2Y}\text{, }&Y\neq 0\\X\in \mathrm{R}\text{, }&Y_{3}=-\frac{20385D_{0}}{29}\text{ and }Y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 35Y_{3} me -9Y_{3}, ka 26Y_{3}.

$$26Y_{3}-25Y-\left(2XY-3Y_{3}-5Y\right)=-20385D_{0}$$

Hei kimi i te tauaro o 2XY-3Y_{3}-5Y, kimihia te tauaro o ia taurangi.

$$26Y_{3}-25Y-2XY+3Y_{3}+5Y=-20385D_{0}$$

Pahekotia te 26Y_{3} me 3Y_{3}, ka 29Y_{3}.

$$29Y_{3}-25Y-2XY+5Y=-20385D_{0}$$

Pahekotia te -25Y me 5Y, ka -20Y.

$$29Y_{3}-20Y-2XY=-20385D_{0}$$

Tangohia te 29Y_{3} mai i ngā taha e rua.

$$-20Y-2XY=-20385D_{0}-29Y_{3}$$

Me tāpiri te 20Y ki ngā taha e rua.

$$-2XY=-20385D_{0}-29Y_{3}+20Y$$

He hanga arowhānui tō te whārite.

$$\left(-2Y\right)X=-20385D_{0}+20Y-29Y_{3}$$

Whakawehea ngā taha e rua ki te -2Y.

$$\frac{\left(-2Y\right)X}{-2Y}=\frac{-20385D_{0}+20Y-29Y_{3}}{-2Y}$$

Mā te whakawehe ki te -2Y ka wetekia te whakareanga ki te -2Y.

$$X=\frac{-20385D_{0}+20Y-29Y_{3}}{-2Y}$$

Whakawehe -20385D_{0}-29Y_{3}+20Y ki te -2Y.

$$X=-\frac{-20385D_{0}+20Y-29Y_{3}}{2Y}$$