Issolvi {l}{3=frac{78x+216{(309-x)}}{1000}}{y=0}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { 3 = \frac{78 x + 216 {(309 - x)}}{1000} }\\ { y = 0 }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solvi għal x, y, z, a, b

$$b=0$$

Passi tas-Soluzzjonijiet

Ikkunsidra l-ewwel ekwazzjoni. Immultiplika ż-żewġ naħat b'1000.

$$3\times 1000=78x+216\left(309-x\right)$$

Immultiplika 3 u 1000 biex tikseb 3000.

$$3000=78x+216\left(309-x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 216 b'309-x.

$$3000=78x+66744-216x$$

Ikkombina 78x u -216x biex tikseb -138x.

$$3000=-138x+66744$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$-138x+66744=3000$$

Naqqas 66744 miż-żewġ naħat.

$$-138x=3000-66744$$

Naqqas 66744 minn 3000 biex tikseb -63744.

$$-138x=-63744$$

Iddividi ż-żewġ naħat b'-138.

$$x=\frac{-63744}{-138}$$

Naqqas il-frazzjoni \frac{-63744}{-138} għat-termini l-aktar baxxi billi testratta u tikkanċella barra -6.

$$x=\frac{10624}{23}$$

Is-sistema issa solvuta.

$$x=\frac{10624}{23} y=0 z=0 a=0 b=0$$