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

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

Solvi għal m, n, o, p

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

Passi tas-Soluzzjonijiet

Ikkunsidra l-ewwel ekwazzjoni. Uża l-propjetà distributtiva biex timmultiplika 4 b'3m+2.

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

Uża l-propjetà distributtiva biex timmultiplika -5 b'6m-1.

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

Ikkombina 12m u -30m biex tikseb -18m.

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

Żid 8 u 5 biex tikseb 13.

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

Uża l-propjetà distributtiva biex timmultiplika 9 b'm-8.

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

Uża l-propjetà distributtiva biex timmultiplika -6 b'7m-4.

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

Ikkombina 9m u -42m biex tikseb -33m.

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

Żid -72 u 24 biex tikseb -48.

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

Żid 33m maż-żewġ naħat.

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

Ikkombina -18m u 33m biex tikseb 15m.

$$15m+13=-48$$

Naqqas 13 miż-żewġ naħat.

$$15m=-48-13$$

Naqqas 13 minn -48 biex tikseb -61.

$$15m=-61$$

Iddividi ż-żewġ naħat b'15.

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

Ikkunsidra t-tieni ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

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

Immultiplika 4 u -\frac{61}{15} biex tikseb -\frac{244}{15}.

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

Ikkunsidra t-tielet ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

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

Ikkunsidra r-raba' ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

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

Is-sistema issa solvuta.

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