Whakaoti i te 40x=40/3x+80left(2/3x-15right)

$$40x = \frac{ 40 }{ 3 } x+80 \left( \frac{ 2 }{ 3 } x-15 \right)$$

Whakaoti mō x

$$x=45$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 80 ki te \frac{2}{3}x-15.

$$40x=\frac{40}{3}x+80\times \frac{2}{3}x-1200$$

Tuhia te 80\times \frac{2}{3} hei hautanga kotahi.

$$40x=\frac{40}{3}x+\frac{80\times 2}{3}x-1200$$

Whakareatia te 80 ki te 2, ka 160.

$$40x=\frac{40}{3}x+\frac{160}{3}x-1200$$

Pahekotia te \frac{40}{3}x me \frac{160}{3}x, ka \frac{200}{3}x.

$$40x=\frac{200}{3}x-1200$$

Tangohia te \frac{200}{3}x mai i ngā taha e rua.

$$40x-\frac{200}{3}x=-1200$$

Pahekotia te 40x me -\frac{200}{3}x, ka -\frac{80}{3}x.

$$-\frac{80}{3}x=-1200$$

Me whakarea ngā taha e rua ki te -\frac{3}{80}, te tau utu o -\frac{80}{3}.

$$x=-1200\left(-\frac{3}{80}\right)$$

Tuhia te -1200\left(-\frac{3}{80}\right) hei hautanga kotahi.

$$x=\frac{-1200\left(-3\right)}{80}$$

Whakareatia te -1200 ki te -3, ka 3600.

$$x=\frac{3600}{80}$$

Whakawehea te 3600 ki te 80, kia riro ko 45.

$$x=45$$