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

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

Datrys ar gyfer m, n, o

$$o=-\frac{10}{11}\approx -0.909090909$$

Camau Ateb

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

$$12m+8-5\left(6m-1\right)=2\left(m-8\right)-6\left(7m-4\right)$$

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

$$12m+8-30m+5=2\left(m-8\right)-6\left(7m-4\right)$$

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

$$-18m+8+5=2\left(m-8\right)-6\left(7m-4\right)$$

Adio 8 a 5 i gael 13.

$$-18m+13=2\left(m-8\right)-6\left(7m-4\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi 2 â m-8.

$$-18m+13=2m-16-6\left(7m-4\right)$$

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

$$-18m+13=2m-16-42m+24$$

Cyfuno 2m a -42m i gael -40m.

$$-18m+13=-40m-16+24$$

Adio -16 a 24 i gael 8.

$$-18m+13=-40m+8$$

Ychwanegu 40m at y ddwy ochr.

$$-18m+13+40m=8$$

Cyfuno -18m a 40m i gael 22m.

$$22m+13=8$$

Tynnu 13 o'r ddwy ochr.

$$22m=8-13$$

Tynnu 13 o 8 i gael -5.

$$22m=-5$$

Rhannu’r ddwy ochr â 22.

$$m=-\frac{5}{22}$$

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

$$n=4\left(-\frac{5}{22}\right)$$

Lluosi 4 a -\frac{5}{22} i gael -\frac{10}{11}.

$$n=-\frac{10}{11}$$

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

$$o=-\frac{10}{11}$$

Mae’r system wedi’i datrys nawr.

$$m=-\frac{5}{22} n=-\frac{10}{11} o=-\frac{10}{11}$$