Whakaoti i te 6cy-30^2-(y-3)-15=0

$$6 c y - 30 ^ { 2 } - ( y - 3 ) - 15 = 0$$

Whakaoti mō c

$$c=\frac{1}{6}+\frac{152}{y}$$

$$y\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 30 mā te pū o 2, kia riro ko 900.

$$6cy-900-\left(y-3\right)-15=0$$

Hei kimi i te tauaro o y-3, kimihia te tauaro o ia taurangi.

$$6cy-900-y+3-15=0$$

Tāpirihia te -900 ki te 3, ka -897.

$$6cy-897-y-15=0$$

Tangohia te 15 i te -897, ka -912.

$$6cy-912-y=0$$

Me tāpiri te 912 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$6cy-y=912$$

Me tāpiri te y ki ngā taha e rua.

$$6cy=912+y$$

He hanga arowhānui tō te whārite.

$$6yc=y+912$$

Whakawehea ngā taha e rua ki te 6y.

$$\frac{6yc}{6y}=\frac{y+912}{6y}$$

Mā te whakawehe ki te 6y ka wetekia te whakareanga ki te 6y.

$$c=\frac{y+912}{6y}$$

Whakawehe y+912 ki te 6y.

$$c=\frac{1}{6}+\frac{152}{y}$$

Whakaoti mō y

$$y=\frac{912}{6c-1}$$

$$c\neq \frac{1}{6}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 30 mā te pū o 2, kia riro ko 900.

$$6cy-900-\left(y-3\right)-15=0$$

Hei kimi i te tauaro o y-3, kimihia te tauaro o ia taurangi.

$$6cy-900-y+3-15=0$$

Tāpirihia te -900 ki te 3, ka -897.

$$6cy-897-y-15=0$$

Tangohia te 15 i te -897, ka -912.

$$6cy-912-y=0$$

Me tāpiri te 912 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$6cy-y=912$$

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

$$\left(6c-1\right)y=912$$

Whakawehea ngā taha e rua ki te 6c-1.

$$\frac{\left(6c-1\right)y}{6c-1}=\frac{912}{6c-1}$$

Mā te whakawehe ki te 6c-1 ka wetekia te whakareanga ki te 6c-1.

$$y=\frac{912}{6c-1}$$