Whakaoti i te {l}{6x+8=7}{7x+2y=8}

$$\left\{ \begin{array} { l } { 6 x + 8 = 7 } \\ { 7 x + 2 y = 8 } \end{array} \right.$$

Whakaoti mō x, y

$$x=-\frac{1}{6}\approx -0.166666667$$

$$y = \frac{55}{12} = 4\frac{7}{12} \approx 4.583333333$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Tangohia te 8 mai i ngā taha e rua.

$$6x=7-8$$

Tangohia te 8 i te 7, ka -1.

$$6x=-1$$

Whakawehea ngā taha e rua ki te 6.

$$x=-\frac{1}{6}$$

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

$$7\left(-\frac{1}{6}\right)+2y=8$$

Whakareatia te 7 ki te -\frac{1}{6}, ka -\frac{7}{6}.

$$-\frac{7}{6}+2y=8$$

Me tāpiri te \frac{7}{6} ki ngā taha e rua.

$$2y=8+\frac{7}{6}$$

Tāpirihia te 8 ki te \frac{7}{6}, ka \frac{55}{6}.

$$2y=\frac{55}{6}$$

Whakawehea ngā taha e rua ki te 2.

$$y=\frac{\frac{55}{6}}{2}$$

Tuhia te \frac{\frac{55}{6}}{2} hei hautanga kotahi.

$$y=\frac{55}{6\times 2}$$

Whakareatia te 6 ki te 2, ka 12.

$$y=\frac{55}{12}$$

Kua oti te pūnaha te whakatau.

$$x=-\frac{1}{6} y=\frac{55}{12}$$