Whakaoti i te {l}{2137x=y}{77/100y+2137=y}

$$\left. \begin{array} { l } { 2137 x = y } \\ { \frac { 77 } { 100 } y + 2137 = y } \end{array} \right.$$

Whakaoti mō x, y

$$x = \frac{100}{23} = 4\frac{8}{23} \approx 4.347826087$$

$$y = \frac{213700}{23} = 9291\frac{7}{23} \approx 9291.304347826$$

Ngā Upane Otinga

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

$$\frac{77}{100}y+2137-y=0$$

Pahekotia te \frac{77}{100}y me -y, ka -\frac{23}{100}y.

$$-\frac{23}{100}y+2137=0$$

Tangohia te 2137 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-\frac{23}{100}y=-2137$$

Me whakarea ngā taha e rua ki te -\frac{100}{23}, te tau utu o -\frac{23}{100}.

$$y=-2137\left(-\frac{100}{23}\right)$$

Whakareatia te -2137 ki te -\frac{100}{23}, ka \frac{213700}{23}.

$$y=\frac{213700}{23}$$

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

$$2137x=\frac{213700}{23}$$

Whakawehea ngā taha e rua ki te 2137.

$$x=\frac{\frac{213700}{23}}{2137}$$

Tuhia te \frac{\frac{213700}{23}}{2137} hei hautanga kotahi.

$$x=\frac{213700}{23\times 2137}$$

Whakareatia te 23 ki te 2137, ka 49151.

$$x=\frac{213700}{49151}$$

Whakahekea te hautanga \frac{213700}{49151} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2137.

$$x=\frac{100}{23}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{100}{23} y=\frac{213700}{23}$$