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

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

Whakaoti mō y

$$y=\frac{3}{28}\approx 0.107142857$$

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.

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

Whakareatia te 3 ki te 2, ka 6.

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

Tāpirihia te 6 ki te 1, ka 7.

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

Whakareatia te 6 ki te 7, ka 42.

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

Whakareatia te 2 ki te 3, ka 6.

$$42-4\left(6+1\right)y=3\left(3\times 4+1\right)$$

Tāpirihia te 6 ki te 1, ka 7.

$$42-4\times 7y=3\left(3\times 4+1\right)$$

Whakareatia te 4 ki te 7, ka 28.

$$42-28y=3\left(3\times 4+1\right)$$

Whakareatia te 3 ki te 4, ka 12.

$$42-28y=3\left(12+1\right)$$

Tāpirihia te 12 ki te 1, ka 13.

$$42-28y=3\times 13$$

Whakareatia te 3 ki te 13, ka 39.

$$42-28y=39$$

Tangohia te 42 mai i ngā taha e rua.

$$-28y=39-42$$

Tangohia te 42 i te 39, ka -3.

$$-28y=-3$$

Whakawehea ngā taha e rua ki te -28.

$$y=\frac{-3}{-28}$$

Ka taea te hautanga \frac{-3}{-28} te whakamāmā ki te \frac{3}{28} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$y=\frac{3}{28}$$