Whakaoti i te 15/6+2/5x=11/15x-2

$$1 \frac { 5 } { 6 } + \frac { 2 } { 5 } x = \frac { 11 } { 15 } x - 2$$

Whakaoti mō x

$$x = \frac{23}{2} = 11\frac{1}{2} = 11.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 6,5,15.

$$5\left(1\times 6+5\right)+12x=22x-60$$

Whakareatia te 1 ki te 6, ka 6.

$$5\left(6+5\right)+12x=22x-60$$

Tāpirihia te 6 ki te 5, ka 11.

$$5\times 11+12x=22x-60$$

Whakareatia te 5 ki te 11, ka 55.

$$55+12x=22x-60$$

Tangohia te 22x mai i ngā taha e rua.

$$55+12x-22x=-60$$

Pahekotia te 12x me -22x, ka -10x.

$$55-10x=-60$$

Tangohia te 55 mai i ngā taha e rua.

$$-10x=-60-55$$

Tangohia te 55 i te -60, ka -115.

$$-10x=-115$$

Whakawehea ngā taha e rua ki te -10.

$$x=\frac{-115}{-10}$$

Whakahekea te hautanga \frac{-115}{-10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -5.

$$x=\frac{23}{2}$$