Whakaoti i te {l}{0x+14y=460}{x+y=40}

$$\left. \begin{array} { l } { 0 x + 14 y = 460 } \\ { x + y = 40 } \end{array} \right.$$

Whakaoti mō x, y

$$x = \frac{50}{7} = 7\frac{1}{7} \approx 7.142857143$$

$$y = \frac{230}{7} = 32\frac{6}{7} \approx 32.857142857$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0+14y=460$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$14y=460$$

Whakawehea ngā taha e rua ki te 14.

$$y=\frac{460}{14}$$

Whakahekea te hautanga \frac{460}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$y=\frac{230}{7}$$

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

$$x+\frac{230}{7}=40$$

Tangohia te \frac{230}{7} mai i ngā taha e rua.

$$x=40-\frac{230}{7}$$

Tangohia te \frac{230}{7} i te 40, ka \frac{50}{7}.

$$x=\frac{50}{7}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{50}{7} y=\frac{230}{7}$$