Datrys {l}{4{(3m+2)}-5{(6m-1)}=9{(m-8)}-6{(7m-4)}}{n=4m}{o=n}{text{Solvefor}ptext{where}}{p=o}

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

Datrys ar gyfer m, n, o, p

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

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Defnyddio’r briodwedd ddosbarthu i luosi 4 â 3m+2.

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

Defnyddio’r briodwedd ddosbarthu i luosi -5 â 6m-1.

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

Cyfuno 12m a -30m i gael -18m.

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

Adio 8 a 5 i gael 13.

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

Defnyddio’r briodwedd ddosbarthu i luosi 9 â m-8.

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

Defnyddio’r briodwedd ddosbarthu i luosi -6 â 7m-4.

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

Cyfuno 9m a -42m i gael -33m.

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

Adio -72 a 24 i gael -48.

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

Ychwanegu 33m at y ddwy ochr.

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

Cyfuno -18m a 33m i gael 15m.

$$15m+13=-48$$

Tynnu 13 o'r ddwy ochr.

$$15m=-48-13$$

Tynnu 13 o -48 i gael -61.

$$15m=-61$$

Rhannu’r ddwy ochr â 15.

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

Ystyriwch yr ail hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

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

Lluosi 4 a -\frac{61}{15} i gael -\frac{244}{15}.

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

Ystyriwch y trydydd hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

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

Ystyriwch y pedwaredd hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

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

Mae’r system wedi’i datrys nawr.

$$m=-\frac{61}{15} n=-\frac{244}{15} o=-\frac{244}{15} p=-\frac{244}{15}$$