Whakaoti i te {l}{3(x-10)=2x-10}{3(y-10)=2y-10x/2}

$$\left\{ \begin{array} { l } { 3 ( x - 10 ) = 2 x - 10 } \\ { 3 ( y - 10 ) = 2 y - 10 \frac { x } { 2 } } \end{array} \right.$$

Whakaoti mō x, y

$$x=20$$

$$y=-70$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-10.

$$3x-30=2x-10$$

Tangohia te 2x mai i ngā taha e rua.

$$3x-30-2x=-10$$

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

$$x-30=-10$$

Me tāpiri te 30 ki ngā taha e rua.

$$x=-10+30$$

Tāpirihia te -10 ki te 30, ka 20.

$$x=20$$

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

$$3\left(y-10\right)=2y-10\times \frac{20}{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te y-10.

$$3y-30=2y-10\times \frac{20}{2}$$

Whakawehea te 20 ki te 2, kia riro ko 10.

$$3y-30=2y-10\times 10$$

Whakareatia te 10 ki te 10, ka 100.

$$3y-30=2y-100$$

Tangohia te 2y mai i ngā taha e rua.

$$3y-30-2y=-100$$

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

$$y-30=-100$$

Me tāpiri te 30 ki ngā taha e rua.

$$y=-100+30$$

Tāpirihia te -100 ki te 30, ka -70.

$$y=-70$$

Kua oti te pūnaha te whakatau.

$$x=20 y=-70$$