Whakaoti i te 100+0.9(x-100)=50+0.95(x-50)

$$100+0.9(x-100)=50+0.95(x-50)$$

Whakaoti mō x

$$x=150$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 0.9 ki te x-100.

$$100+0.9x-90=50+0.95\left(x-50\right)$$

Tangohia te 90 i te 100, ka 10.

$$10+0.9x=50+0.95\left(x-50\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 0.95 ki te x-50.

$$10+0.9x=50+0.95x-47.5$$

Tangohia te 47.5 i te 50, ka 2.5.

$$10+0.9x=2.5+0.95x$$

Tangohia te 0.95x mai i ngā taha e rua.

$$10+0.9x-0.95x=2.5$$

Pahekotia te 0.9x me -0.95x, ka -0.05x.

$$10-0.05x=2.5$$

Tangohia te 10 mai i ngā taha e rua.

$$-0.05x=2.5-10$$

Tangohia te 10 i te 2.5, ka -7.5.

$$-0.05x=-7.5$$

Whakawehea ngā taha e rua ki te -0.05.

$$x=\frac{-7.5}{-0.05}$$

Whakarohaina te \frac{-7.5}{-0.05} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x=\frac{-750}{-5}$$

Whakawehea te -750 ki te -5, kia riro ko 150.

$$x=150$$