Whakaoti i te {l}{x+2/3{(x-3)}=4/3-5{(x-6/5)}}{y=x-3x-12}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x + \frac{2}{3} {(x - 3)} = \frac{4}{3} - 5 {(x - \frac{6}{5})} }\\ { y = x - 3 x - 12 }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Whakaoti mō x, y, z, a, b

$$b = -\frac{74}{5} = -14\frac{4}{5} = -14.8$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakamahia te āhuatanga tohatoha hei whakarea te \frac{2}{3} ki te x-3.

$$x+\frac{2}{3}x-2=\frac{4}{3}-5\left(x-\frac{6}{5}\right)$$

Pahekotia te x me \frac{2}{3}x, ka \frac{5}{3}x.

$$\frac{5}{3}x-2=\frac{4}{3}-5\left(x-\frac{6}{5}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te x-\frac{6}{5}.

$$\frac{5}{3}x-2=\frac{4}{3}-5x+6$$

Tāpirihia te \frac{4}{3} ki te 6, ka \frac{22}{3}.

$$\frac{5}{3}x-2=\frac{22}{3}-5x$$

Me tāpiri te 5x ki ngā taha e rua.

$$\frac{5}{3}x-2+5x=\frac{22}{3}$$

Pahekotia te \frac{5}{3}x me 5x, ka \frac{20}{3}x.

$$\frac{20}{3}x-2=\frac{22}{3}$$

Me tāpiri te 2 ki ngā taha e rua.

$$\frac{20}{3}x=\frac{22}{3}+2$$

Tāpirihia te \frac{22}{3} ki te 2, ka \frac{28}{3}.

$$\frac{20}{3}x=\frac{28}{3}$$

Me whakarea ngā taha e rua ki te \frac{3}{20}, te tau utu o \frac{20}{3}.

$$x=\frac{28}{3}\times \frac{3}{20}$$

Whakareatia te \frac{28}{3} ki te \frac{3}{20}, ka \frac{7}{5}.

$$x=\frac{7}{5}$$

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

$$y=\frac{7}{5}-3\times \frac{7}{5}-12$$

Whakareatia te -3 ki te \frac{7}{5}, ka -\frac{21}{5}.

$$y=\frac{7}{5}-\frac{21}{5}-12$$

Tangohia te \frac{21}{5} i te \frac{7}{5}, ka -\frac{14}{5}.

$$y=-\frac{14}{5}-12$$

Tangohia te 12 i te -\frac{14}{5}, ka -\frac{74}{5}.

$$y=-\frac{74}{5}$$

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

$$z=-\frac{74}{5}$$

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

$$a=-\frac{74}{5}$$

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

$$b=-\frac{74}{5}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{7}{5} y=-\frac{74}{5} z=-\frac{74}{5} a=-\frac{74}{5} b=-\frac{74}{5}$$