Whakaoti i te {l}{1.5x-35y=-5}{-1.2y+2.5y=1}

$$\left\{ \begin{array} { l } { 1.5 x - 35 y = - 5 } \\ { - 1.2 y + 2.5 y = 1 } \end{array} \right.$$

Whakaoti mō x, y

$$x = \frac{190}{13} = 14\frac{8}{13} \approx 14.615384615$$

$$y=\frac{10}{13}\approx 0.769230769$$

Ngā Upane Otinga

Whakaarohia te whārite tuarua. Pahekotia te -1.2y me 2.5y, ka 1.3y.

$$1.3y=1$$

Whakawehea ngā taha e rua ki te 1.3.

$$y=\frac{1}{1.3}$$

Whakarohaina te \frac{1}{1.3} mā te whakarea i te taurunga me te tauraro ki te 10.

$$y=\frac{10}{13}$$

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

$$1.5x-35\times \frac{10}{13}=-5$$

Whakareatia te -35 ki te \frac{10}{13}, ka -\frac{350}{13}.

$$1.5x-\frac{350}{13}=-5$$

Me tāpiri te \frac{350}{13} ki ngā taha e rua.

$$1.5x=-5+\frac{350}{13}$$

Tāpirihia te -5 ki te \frac{350}{13}, ka \frac{285}{13}.

$$1.5x=\frac{285}{13}$$

Whakawehea ngā taha e rua ki te 1.5.

$$x=\frac{\frac{285}{13}}{1.5}$$

Tuhia te \frac{\frac{285}{13}}{1.5} hei hautanga kotahi.

$$x=\frac{285}{13\times 1.5}$$

Whakareatia te 13 ki te 1.5, ka 19.5.

$$x=\frac{285}{19.5}$$

Whakarohaina te \frac{285}{19.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{2850}{195}$$

Whakahekea te hautanga \frac{2850}{195} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$x=\frac{190}{13}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{190}{13} y=\frac{10}{13}$$