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

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

Whakaoti mō x, y

$$x=32$$

$$y=20$$

Ngā Upane Otinga

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

$$3x-30=2x+2$$

Tangohia te 2x mai i ngā taha e rua.

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

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

$$x-30=2$$

Me tāpiri te 30 ki ngā taha e rua.

$$x=2+30$$

Tāpirihia te 2 ki te 30, ka 32.

$$x=32$$

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

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

Tangohia te 2y mai i ngā taha e rua.

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

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

$$y-30=-10$$

Me tāpiri te 30 ki ngā taha e rua.

$$y=-10+30$$

Tāpirihia te -10 ki te 30, ka 20.

$$y=20$$

Kua oti te pūnaha te whakatau.

$$x=32 y=20$$