Whakaoti i te {l}{4{(3m+2)}-5{(6m-1)}=9{(m-8)}-6{(7m-4)}}{n=4m}{o=n}{p=o}{q=p}{r=q}{s=r}{t=s}{u=t}{v=u}{text{Solvefor}wtext{where}}{w=v}

$$\left. \begin{array} { l } { 4 {(3 m + 2)} - 5 {(6 m - 1)} = 9 {(m - 8)} - 6 {(7 m - 4)} }\\ { n = 4 m }\\ { o = n }\\ { p = o }\\ { q = p }\\ { r = q }\\ { s = r }\\ { t = s }\\ { u = t }\\ { v = u }\\ { \text{Solve for } w \text{ where} } \\ { w = v } \end{array} \right.$$

Whakaoti mō m, n, o, p, q, r, s, t, u, v, w

$$w = -\frac{244}{15} = -16\frac{4}{15} \approx -16.266666667$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 3m+2.

$$12m+8-5\left(6m-1\right)=9\left(m-8\right)-6\left(7m-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 6m-1.

$$12m+8-30m+5=9\left(m-8\right)-6\left(7m-4\right)$$

Pahekotia te 12m me -30m, ka -18m.

$$-18m+8+5=9\left(m-8\right)-6\left(7m-4\right)$$

Tāpirihia te 8 ki te 5, ka 13.

$$-18m+13=9\left(m-8\right)-6\left(7m-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te m-8.

$$-18m+13=9m-72-6\left(7m-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te 7m-4.

$$-18m+13=9m-72-42m+24$$

Pahekotia te 9m me -42m, ka -33m.

$$-18m+13=-33m-72+24$$

Tāpirihia te -72 ki te 24, ka -48.

$$-18m+13=-33m-48$$

Me tāpiri te 33m ki ngā taha e rua.

$$-18m+13+33m=-48$$

Pahekotia te -18m me 33m, ka 15m.

$$15m+13=-48$$

Tangohia te 13 mai i ngā taha e rua.

$$15m=-48-13$$

Tangohia te 13 i te -48, ka -61.

$$15m=-61$$

Whakawehea ngā taha e rua ki te 15.

$$m=-\frac{61}{15}$$

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

$$n=4\left(-\frac{61}{15}\right)$$

Whakareatia te 4 ki te -\frac{61}{15}, ka -\frac{244}{15}.

$$n=-\frac{244}{15}$$

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

$$o=-\frac{244}{15}$$

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

$$p=-\frac{244}{15}$$

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

$$q=-\frac{244}{15}$$

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

$$r=-\frac{244}{15}$$

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

$$s=-\frac{244}{15}$$

Whakaarohia te whārite (8). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$t=-\frac{244}{15}$$

Whakaarohia te whārite (9). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$u=-\frac{244}{15}$$

Whakaarohia te whārite (10). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$v=-\frac{244}{15}$$

Whakaarohia te whārite (11). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$w=-\frac{244}{15}$$

Kua oti te pūnaha te whakatau.

$$m=-\frac{61}{15} n=-\frac{244}{15} o=-\frac{244}{15} p=-\frac{244}{15} q=-\frac{244}{15} r=-\frac{244}{15} s=-\frac{244}{15} t=-\frac{244}{15} u=-\frac{244}{15} v=-\frac{244}{15} w=-\frac{244}{15}$$