Whakaoti i te {l}{4*26y=48}{3x+2y=51}

$$\left. \begin{array} { l } { 4 \times 26 y = 48 } \\ { 3 x + 2 y = 51 } \end{array} \right.$$

Whakaoti mō y, x

$$x = \frac{217}{13} = 16\frac{9}{13} \approx 16.692307692$$

$$y=\frac{6}{13}\approx 0.461538462$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakareatia te 4 ki te 26, ka 104.

$$104y=48$$

Whakawehea ngā taha e rua ki te 104.

$$y=\frac{48}{104}$$

Whakahekea te hautanga \frac{48}{104} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$y=\frac{6}{13}$$

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

$$3x+2\times \frac{6}{13}=51$$

Whakareatia te 2 ki te \frac{6}{13}, ka \frac{12}{13}.

$$3x+\frac{12}{13}=51$$

Tangohia te \frac{12}{13} mai i ngā taha e rua.

$$3x=51-\frac{12}{13}$$

Tangohia te \frac{12}{13} i te 51, ka \frac{651}{13}.

$$3x=\frac{651}{13}$$

Whakawehea ngā taha e rua ki te 3.

$$x=\frac{\frac{651}{13}}{3}$$

Tuhia te \frac{\frac{651}{13}}{3} hei hautanga kotahi.

$$x=\frac{651}{13\times 3}$$

Whakareatia te 13 ki te 3, ka 39.

$$x=\frac{651}{39}$$

Whakahekea te hautanga \frac{651}{39} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{217}{13}$$

Kua oti te pūnaha te whakatau.

$$y=\frac{6}{13} x=\frac{217}{13}$$