Whakaoti i te {l}{3-7x+2/8=2x+5x+1/9}{y=x+3x-1x+1}{z=y}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 3 - \frac{7 x + 2}{8} = 2 x + \frac{5 x + 1}{9} }\\ { y = x + 3 x - 1 x + 1 }\\ { z = y }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Whakaoti mō x, y, z, a, b, c

$$c = \frac{43}{13} = 3\frac{4}{13} \approx 3.307692308$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Me whakarea ngā taha e rua o te whārite ki te 72, arā, te tauraro pātahi he tino iti rawa te kitea o 8,9.

$$216-9\left(7x+2\right)=144x+8\left(5x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -9 ki te 7x+2.

$$216-63x-18=144x+8\left(5x+1\right)$$

Tangohia te 18 i te 216, ka 198.

$$198-63x=144x+8\left(5x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 5x+1.

$$198-63x=144x+40x+8$$

Pahekotia te 144x me 40x, ka 184x.

$$198-63x=184x+8$$

Tangohia te 184x mai i ngā taha e rua.

$$198-63x-184x=8$$

Pahekotia te -63x me -184x, ka -247x.

$$198-247x=8$$

Tangohia te 198 mai i ngā taha e rua.

$$-247x=8-198$$

Tangohia te 198 i te 8, ka -190.

$$-247x=-190$$

Whakawehea ngā taha e rua ki te -247.

$$x=\frac{-190}{-247}$$

Whakahekea te hautanga \frac{-190}{-247} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -19.

$$x=\frac{10}{13}$$

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

$$y=\frac{10}{13}+3\times \frac{10}{13}-\frac{10}{13}+1$$

Whakareatia te 3 ki te \frac{10}{13}, ka \frac{30}{13}.

$$y=\frac{10}{13}+\frac{30}{13}-\frac{10}{13}+1$$

Tāpirihia te \frac{10}{13} ki te \frac{30}{13}, ka \frac{40}{13}.

$$y=\frac{40}{13}-\frac{10}{13}+1$$

Tangohia te \frac{10}{13} i te \frac{40}{13}, ka \frac{30}{13}.

$$y=\frac{30}{13}+1$$

Tāpirihia te \frac{30}{13} ki te 1, ka \frac{43}{13}.

$$y=\frac{43}{13}$$

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

$$z=\frac{43}{13}$$

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

$$a=\frac{43}{13}$$

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

$$b=\frac{43}{13}$$

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

$$c=\frac{43}{13}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{10}{13} y=\frac{43}{13} z=\frac{43}{13} a=\frac{43}{13} b=\frac{43}{13} c=\frac{43}{13}$$