Whakaoti i te {l}{x-1/2-y-1/3=-13/30}{x-11/3+frac{9+1}{2}=-frac{2}{3}}{z=x-1-2y}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { \frac{x - 1}{2} - \frac{y - 1}{3} = -\frac{13}{30} }\\ { \frac{x - 11}{3} + \frac{9 + 1}{2} = -\frac{2}{3} }\\ { z = x - 1 - 2 y }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Whakaoti mō x, y, z, a, b, c, d

$$d = \frac{47}{5} = 9\frac{2}{5} = 9.4$$

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.

$$2\left(x-11\right)+3\left(9+1\right)=-4$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x-11.

$$2x-22+3\left(9+1\right)=-4$$

Tāpirihia te 9 ki te 1, ka 10.

$$2x-22+3\times 10=-4$$

Whakareatia te 3 ki te 10, ka 30.

$$2x-22+30=-4$$

Tāpirihia te -22 ki te 30, ka 8.

$$2x+8=-4$$

Tangohia te 8 mai i ngā taha e rua.

$$2x=-4-8$$

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

$$2x=-12$$

Whakawehea ngā taha e rua ki te 2.

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

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

$$x=-6$$

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

$$\frac{-6-1}{2}-\frac{y-1}{3}=-\frac{13}{30}$$

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 2,3,30.

$$15\left(-6-1\right)-10\left(y-1\right)=-13$$

Tangohia te 1 i te -6, ka -7.

$$15\left(-7\right)-10\left(y-1\right)=-13$$

Whakareatia te 15 ki te -7, ka -105.

$$-105-10\left(y-1\right)=-13$$

Whakamahia te āhuatanga tohatoha hei whakarea te -10 ki te y-1.

$$-105-10y+10=-13$$

Tāpirihia te -105 ki te 10, ka -95.

$$-95-10y=-13$$

Me tāpiri te 95 ki ngā taha e rua.

$$-10y=-13+95$$

Tāpirihia te -13 ki te 95, ka 82.

$$-10y=82$$

Whakawehea ngā taha e rua ki te -10.

$$y=\frac{82}{-10}$$

Whakahekea te hautanga \frac{82}{-10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$y=-\frac{41}{5}$$

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

$$z=-6-1-2\left(-\frac{41}{5}\right)$$

Tangohia te 1 i te -6, ka -7.

$$z=-7-2\left(-\frac{41}{5}\right)$$

Whakareatia te -2 ki te -\frac{41}{5}, ka \frac{82}{5}.

$$z=-7+\frac{82}{5}$$

Tāpirihia te -7 ki te \frac{82}{5}, ka \frac{47}{5}.

$$z=\frac{47}{5}$$

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

$$a=\frac{47}{5}$$

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

$$b=\frac{47}{5}$$

Whakaarohia te whārite (6). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$c=\frac{47}{5}$$

Whakaarohia te whārite (7). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$d=\frac{47}{5}$$

Kua oti te pūnaha te whakatau.

$$x=-6 y=-\frac{41}{5} z=\frac{47}{5} a=\frac{47}{5} b=\frac{47}{5} c=\frac{47}{5} d=\frac{47}{5}$$