Whakaoti i te 5/2(-8x-9)=9

$$\frac{ 5 }{ 2 } (-8x-9)=9$$

Whakaoti mō x

$$x = -\frac{63}{40} = -1\frac{23}{40} = -1.575$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te \frac{2}{5}, te tau utu o \frac{5}{2}.

$$-8x-9=9\times \frac{2}{5}$$

Tuhia te 9\times \frac{2}{5} hei hautanga kotahi.

$$-8x-9=\frac{9\times 2}{5}$$

Whakareatia te 9 ki te 2, ka 18.

$$-8x-9=\frac{18}{5}$$

Me tāpiri te 9 ki ngā taha e rua.

$$-8x=\frac{18}{5}+9$$

Me tahuri te 9 ki te hautau \frac{45}{5}.

$$-8x=\frac{18}{5}+\frac{45}{5}$$

Tā te mea he rite te tauraro o \frac{18}{5} me \frac{45}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-8x=\frac{18+45}{5}$$

Tāpirihia te 18 ki te 45, ka 63.

$$-8x=\frac{63}{5}$$

Whakawehea ngā taha e rua ki te -8.

$$x=\frac{\frac{63}{5}}{-8}$$

Tuhia te \frac{\frac{63}{5}}{-8} hei hautanga kotahi.

$$x=\frac{63}{5\left(-8\right)}$$

Whakareatia te 5 ki te -8, ka -40.

$$x=\frac{63}{-40}$$

Ka taea te hautanga \frac{63}{-40} te tuhi anō ko -\frac{63}{40} mā te tango i te tohu tōraro.

$$x=-\frac{63}{40}$$