Issolvi {l}{50{(x/2)}=795}{y=5{(x)}+2{(3x)}+2x+0}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { 50 {(\frac{x}{2})} = 795 }\\ { y = 5 {(x)} + 2 {(3 x)} + 2 x + 0 }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solvi għal x, y, z, a

$$a = \frac{2067}{5} = 413\frac{2}{5} = 413.4$$

Passi tas-Soluzzjonijiet

Ikkunsidra l-ewwel ekwazzjoni. Iddividi ż-żewġ naħat b'50.

$$\frac{x}{2}=\frac{795}{50}$$

Naqqas il-frazzjoni \frac{795}{50} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{x}{2}=\frac{159}{10}$$

Immultiplika ż-żewġ naħat b'2.

$$x=\frac{159}{10}\times 2$$

Immultiplika \frac{159}{10} u 2 biex tikseb \frac{159}{5}.

$$x=\frac{159}{5}$$

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

$$y=5\times \frac{159}{5}+2\times 3\times \frac{159}{5}+2\times \frac{159}{5}+0$$

Immultiplika 5 u \frac{159}{5} biex tikseb 159.

$$y=159+2\times 3\times \frac{159}{5}+2\times \frac{159}{5}+0$$

Immultiplika 2 u 3 biex tikseb 6.

$$y=159+6\times \frac{159}{5}+2\times \frac{159}{5}+0$$

Immultiplika 6 u \frac{159}{5} biex tikseb \frac{954}{5}.

$$y=159+\frac{954}{5}+2\times \frac{159}{5}+0$$

Żid 159 u \frac{954}{5} biex tikseb \frac{1749}{5}.

$$y=\frac{1749}{5}+2\times \frac{159}{5}+0$$

Immultiplika 2 u \frac{159}{5} biex tikseb \frac{318}{5}.

$$y=\frac{1749}{5}+\frac{318}{5}+0$$

Żid \frac{1749}{5} u \frac{318}{5} biex tikseb \frac{2067}{5}.

$$y=\frac{2067}{5}+0$$

Żid \frac{2067}{5} u 0 biex tikseb \frac{2067}{5}.

$$y=\frac{2067}{5}$$

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

$$z=\frac{2067}{5}$$

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

$$a=\frac{2067}{5}$$

Is-sistema issa solvuta.

$$x=\frac{159}{5} y=\frac{2067}{5} z=\frac{2067}{5} a=\frac{2067}{5}$$