Whakaoti i te 6y(13y-9)-13y(6y-1)=24y+13

$$6y(13y-9)-13y(6y-1) = 24y+13$$

Whakaoti mō y

$$y=-\frac{1}{5}=-0.2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 6y ki te 13y-9.

$$78y^{2}-54y-13y\left(6y-1\right)=24y+13$$

Tangohia te 24y mai i ngā taha e rua.

$$78y^{2}-54y-13y\left(6y-1\right)-24y=13$$

Whakamahia te āhuatanga tohatoha hei whakarea te -13y ki te 6y-1.

$$78y^{2}-54y-78y^{2}+13y-24y=13$$

Pahekotia te 78y^{2} me -78y^{2}, ka 0.

$$-54y+13y-24y=13$$

Pahekotia te -54y me 13y, ka -41y.

$$-41y-24y=13$$

Pahekotia te -41y me -24y, ka -65y.

$$-65y=13$$

Whakawehea ngā taha e rua ki te -65.

$$y=\frac{13}{-65}$$

Whakahekea te hautanga \frac{13}{-65} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 13.

$$y=-\frac{1}{5}$$