Whakaoti i te {l}{x+y=100}{62.5x+48.7x=50}

$$\left\{ \begin{array} { l } { x + y = 100 } \\ { 62.5 x + 48.7 x = 50 } \end{array} \right.$$

Whakaoti mō x, y

$$x=\frac{125}{278}\approx 0.449640288$$

$$y = \frac{27675}{278} = 99\frac{153}{278} \approx 99.550359712$$

Ngā Upane Otinga

Whakaarohia te whārite tuarua. Pahekotia te 62.5x me 48.7x, ka 111.2x.

$$111.2x=50$$

Whakawehea ngā taha e rua ki te 111.2.

$$x=\frac{50}{111.2}$$

Whakarohaina te \frac{50}{111.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{500}{1112}$$

Whakahekea te hautanga \frac{500}{1112} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=\frac{125}{278}$$

Whakaarohia te whārite tuatahi. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$\frac{125}{278}+y=100$$

Tangohia te \frac{125}{278} mai i ngā taha e rua.

$$y=100-\frac{125}{278}$$

Tangohia te \frac{125}{278} i te 100, ka \frac{27675}{278}.

$$y=\frac{27675}{278}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{125}{278} y=\frac{27675}{278}$$