Whakaoti i te {l}{x-1/2-y-1/3=-13/36(1)}{x-11/3+frac{9+1}{2}=-frac{2}{3}}

$$\left. \begin{array} { l } { \frac { x - 1 } { 2 } - \frac { y - 1 } { 3 } = - \frac { 13 } { 36 } ( 1 ) } \\ { x - \frac { 11 } { 3 } + \frac { 9 + 1 } { 2 } = - \frac { 2 } { 3 } } \end{array} \right.$$

Whakaoti mō x, y

$$x=-2$$

$$y = -\frac{29}{12} = -2\frac{5}{12} \approx -2.416666667$$

Ngā Upane Otinga

Whakaarohia te whārite tuarua. Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 3,2.

$$6x-22+3\left(9+1\right)=-4$$

Tāpirihia te 9 ki te 1, ka 10.

$$6x-22+3\times 10=-4$$

Whakareatia te 3 ki te 10, ka 30.

$$6x-22+30=-4$$

Tāpirihia te -22 ki te 30, ka 8.

$$6x+8=-4$$

Tangohia te 8 mai i ngā taha e rua.

$$6x=-4-8$$

Tangohia te 8 i te -4, ka -12.

$$6x=-12$$

Whakawehea ngā taha e rua ki te 6.

$$x=\frac{-12}{6}$$

Whakawehea te -12 ki te 6, kia riro ko -2.

$$x=-2$$

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

$$\frac{-2-1}{2}-\frac{y-1}{3}=-\frac{13}{36}$$

Me whakarea ngā taha e rua o te whārite ki te 36, arā, te tauraro pātahi he tino iti rawa te kitea o 2,3,36.

$$18\left(-2-1\right)-12\left(y-1\right)=-13$$

Tangohia te 1 i te -2, ka -3.

$$18\left(-3\right)-12\left(y-1\right)=-13$$

Whakareatia te 18 ki te -3, ka -54.

$$-54-12\left(y-1\right)=-13$$

Whakamahia te āhuatanga tohatoha hei whakarea te -12 ki te y-1.

$$-54-12y+12=-13$$

Tāpirihia te -54 ki te 12, ka -42.

$$-42-12y=-13$$

Me tāpiri te 42 ki ngā taha e rua.

$$-12y=-13+42$$

Tāpirihia te -13 ki te 42, ka 29.

$$-12y=29$$

Whakawehea ngā taha e rua ki te -12.

$$y=-\frac{29}{12}$$

Kua oti te pūnaha te whakatau.

$$x=-2 y=-\frac{29}{12}$$