Whakaoti i te 11/9y+7/18y-5/27y=11/4

$$1 \frac { 1 } { 9 } y + \frac { 7 } { 18 } y - \frac { 5 } { 27 } y = 1 \frac { 1 } { 4 }$$

Whakaoti mō y

$$y=\frac{135}{142}\approx 0.950704225$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 108, arā, te tauraro pātahi he tino iti rawa te kitea o 9,18,27,4.

$$12\left(1\times 9+1\right)y+42y-20y=27\left(1\times 4+1\right)$$

Whakareatia te 1 ki te 9, ka 9.

$$12\left(9+1\right)y+42y-20y=27\left(1\times 4+1\right)$$

Tāpirihia te 9 ki te 1, ka 10.

$$12\times 10y+42y-20y=27\left(1\times 4+1\right)$$

Whakareatia te 12 ki te 10, ka 120.

$$120y+42y-20y=27\left(1\times 4+1\right)$$

Pahekotia te 120y me 42y, ka 162y.

$$162y-20y=27\left(1\times 4+1\right)$$

Pahekotia te 162y me -20y, ka 142y.

$$142y=27\left(1\times 4+1\right)$$

Whakareatia te 1 ki te 4, ka 4.

$$142y=27\left(4+1\right)$$

Tāpirihia te 4 ki te 1, ka 5.

$$142y=27\times 5$$

Whakareatia te 27 ki te 5, ka 135.

$$142y=135$$

Whakawehea ngā taha e rua ki te 142.

$$y=\frac{135}{142}$$