Whakaoti i te {l}{1x+2y=-14}{7(-2y-21)+2y=-19}

$$\left. \begin{array} { l } { 1 x + 2 y = - 14 } \\ { 7 ( - 2 y - 21 ) + 2 y = - 19 } \end{array} \right.$$

Whakaoti mō x, y

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

$$y = -\frac{32}{3} = -10\frac{2}{3} \approx -10.666666667$$

Ngā Upane Otinga

Whakaarohia te whārite tuarua. Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te -2y-21.

$$-14y-147+2y=-19$$

Pahekotia te -14y me 2y, ka -12y.

$$-12y-147=-19$$

Me tāpiri te 147 ki ngā taha e rua.

$$-12y=-19+147$$

Tāpirihia te -19 ki te 147, ka 128.

$$-12y=128$$

Whakawehea ngā taha e rua ki te -12.

$$y=\frac{128}{-12}$$

Whakahekea te hautanga \frac{128}{-12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$y=-\frac{32}{3}$$

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

$$1x+2\left(-\frac{32}{3}\right)=-14$$

Whakareatia te 2 ki te -\frac{32}{3}, ka -\frac{64}{3}.

$$1x-\frac{64}{3}=-14$$

Me tāpiri te \frac{64}{3} ki ngā taha e rua.

$$1x=-14+\frac{64}{3}$$

Tāpirihia te -14 ki te \frac{64}{3}, ka \frac{22}{3}.

$$1x=\frac{22}{3}$$

Whakawehea ngā taha e rua ki te 1.

$$x=\frac{\frac{22}{3}}{1}$$

Tuhia te \frac{\frac{22}{3}}{1} hei hautanga kotahi.

$$x=\frac{22}{3\times 1}$$

Whakareatia te 3 ki te 1, ka 3.

$$x=\frac{22}{3}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{22}{3} y=-\frac{32}{3}$$