Whakaoti i te 31/2/2-21/3y=31/4

$$\frac { 3 \frac { 1 } { 2 } } { 2 } - 2 \frac { 1 } { 3 } y = 3 \frac { 1 } { 4 }$$

Whakaoti mō y

$$y=-\frac{9}{14}\approx -0.642857143$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 2,3,4.

$$6\times \frac{3\times 2+1}{2}-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Whakareatia te 3 ki te 2, ka 6.

$$6\times \frac{6+1}{2}-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Tāpirihia te 6 ki te 1, ka 7.

$$6\times \frac{7}{2}-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Tuhia te 6\times \frac{7}{2} hei hautanga kotahi.

$$\frac{6\times 7}{2}-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Whakareatia te 6 ki te 7, ka 42.

$$\frac{42}{2}-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Whakawehea te 42 ki te 2, kia riro ko 21.

$$21-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Whakareatia te 2 ki te 3, ka 6.

$$21-4\left(6+1\right)y=3\left(3\times 4+1\right)$$

Tāpirihia te 6 ki te 1, ka 7.

$$21-4\times 7y=3\left(3\times 4+1\right)$$

Whakareatia te 4 ki te 7, ka 28.

$$21-28y=3\left(3\times 4+1\right)$$

Whakareatia te 3 ki te 4, ka 12.

$$21-28y=3\left(12+1\right)$$

Tāpirihia te 12 ki te 1, ka 13.

$$21-28y=3\times 13$$

Whakareatia te 3 ki te 13, ka 39.

$$21-28y=39$$

Tangohia te 21 mai i ngā taha e rua.

$$-28y=39-21$$

Tangohia te 21 i te 39, ka 18.

$$-28y=18$$

Whakawehea ngā taha e rua ki te -28.

$$y=\frac{18}{-28}$$

Whakahekea te hautanga \frac{18}{-28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$y=-\frac{9}{14}$$