Whakaoti i te {c}{-(3x-2)=y-2}{-(2x+y)=2(y-x)-3}

$$\left\{ \begin{array} { c } { - ( 3 x - 2 ) = y - 2 } \\ { - ( 2 x + y ) = 2 ( y - x ) - 3 } \end{array} \right.$$

Whakaoti mō x, y

$$x=1$$

$$y=1$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Hei kimi i te tauaro o 3x-2, kimihia te tauaro o ia taurangi.

$$-3x+2=y-2$$

Tangohia te y mai i ngā taha e rua.

$$-3x+2-y=-2$$

Tangohia te 2 mai i ngā taha e rua.

$$-3x-y=-2-2$$

Tangohia te 2 i te -2, ka -4.

$$-3x-y=-4$$

Whakaarohia te whārite tuarua. Hei kimi i te tauaro o 2x+y, kimihia te tauaro o ia taurangi.

$$-2x-y=2\left(y-x\right)-3$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y-x.

$$-2x-y=2y-2x-3$$

Tangohia te 2y mai i ngā taha e rua.

$$-2x-y-2y=-2x-3$$

Pahekotia te -y me -2y, ka -3y.

$$-2x-3y=-2x-3$$

Me tāpiri te 2x ki ngā taha e rua.

$$-2x-3y+2x=-3$$

Pahekotia te -2x me 2x, ka 0.

$$-3y=-3$$

Whakawehea ngā taha e rua ki te -3.

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

Whakawehea te -3 ki te -3, kia riro ko 1.

$$y=1$$

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

$$-3x-1=-4$$

Me tāpiri te 1 ki ngā taha e rua.

$$-3x=-4+1$$

Tāpirihia te -4 ki te 1, ka -3.

$$-3x=-3$$

Whakawehea ngā taha e rua ki te -3.

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

Whakawehea te -3 ki te -3, kia riro ko 1.

$$x=1$$

Kua oti te pūnaha te whakatau.

$$x=1 y=1$$