Whakaoti i te {l}{2x+5y=9}{3y+2=10}

$$\left. \begin{array} { l } { 2 x + 5 y = 9 } \\ { 3 y + 2 = 10 } \end{array} \right.$$

Whakaoti mō x, y

$$x = -\frac{13}{6} = -2\frac{1}{6} \approx -2.166666667$$

$$y = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Ngā Upane Otinga

Whakaarohia te whārite tuarua. Tangohia te 2 mai i ngā taha e rua.

$$3y=10-2$$

Tangohia te 2 i te 10, ka 8.

$$3y=8$$

Whakawehea ngā taha e rua ki te 3.

$$y=\frac{8}{3}$$

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

$$2x+5\times \frac{8}{3}=9$$

Whakareatia te 5 ki te \frac{8}{3}, ka \frac{40}{3}.

$$2x+\frac{40}{3}=9$$

Tangohia te \frac{40}{3} mai i ngā taha e rua.

$$2x=9-\frac{40}{3}$$

Tangohia te \frac{40}{3} i te 9, ka -\frac{13}{3}.

$$2x=-\frac{13}{3}$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{-\frac{13}{3}}{2}$$

Tuhia te \frac{-\frac{13}{3}}{2} hei hautanga kotahi.

$$x=\frac{-13}{3\times 2}$$

Whakareatia te 3 ki te 2, ka 6.

$$x=\frac{-13}{6}$$

Ka taea te hautanga \frac{-13}{6} te tuhi anō ko -\frac{13}{6} mā te tango i te tohu tōraro.

$$x=-\frac{13}{6}$$

Kua oti te pūnaha te whakatau.

$$x=-\frac{13}{6} y=\frac{8}{3}$$