Whakaoti i te 2z/-3z/2+5z/6=-4/9z+3

$$\frac{ 2z }{ } - \frac{ 3z }{ 2 } + \frac{ 5z }{ 6 } = - \frac{ 4 }{ 9 } z+3$$

Whakaoti mō z

$$z = \frac{27}{16} = 1\frac{11}{16} = 1.6875$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 18, arā, te tauraro pātahi he tino iti rawa te kitea o 2,6,9.

$$18\times 2z-9\times 3z+3\times 5z=-8z+54$$

Whakareatia te 18 ki te 2, ka 36.

$$36z-9\times 3z+3\times 5z=-8z+54$$

Whakareatia te -9 ki te 3, ka -27.

$$36z-27z+3\times 5z=-8z+54$$

Pahekotia te 36z me -27z, ka 9z.

$$9z+3\times 5z=-8z+54$$

Whakareatia te 3 ki te 5, ka 15.

$$9z+15z=-8z+54$$

Pahekotia te 9z me 15z, ka 24z.

$$24z=-8z+54$$

Me tāpiri te 8z ki ngā taha e rua.

$$24z+8z=54$$

Pahekotia te 24z me 8z, ka 32z.

$$32z=54$$

Whakawehea ngā taha e rua ki te 32.

$$z=\frac{54}{32}$$

Whakahekea te hautanga \frac{54}{32} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$z=\frac{27}{16}$$