Issolvi 3/5(2-x)=1/4(x-4)

$$\frac { 3 } { 5 } ( 2 - x ) = \frac { 1 } { 4 } ( x - 4 )$$

Solvi għal x

$$x = \frac{44}{17} = 2\frac{10}{17} \approx 2.588235294$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika \frac{3}{5} b'2-x.

$$\frac{3}{5}\times 2+\frac{3}{5}\left(-1\right)x=\frac{1}{4}\left(x-4\right)$$

Esprimi \frac{3}{5}\times 2 bħala frazzjoni waħda.

$$\frac{3\times 2}{5}+\frac{3}{5}\left(-1\right)x=\frac{1}{4}\left(x-4\right)$$

Immultiplika 3 u 2 biex tikseb 6.

$$\frac{6}{5}+\frac{3}{5}\left(-1\right)x=\frac{1}{4}\left(x-4\right)$$

Immultiplika \frac{3}{5} u -1 biex tikseb -\frac{3}{5}.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}\left(x-4\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{4} b'x-4.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}x+\frac{1}{4}\left(-4\right)$$

Immultiplika \frac{1}{4} u -4 biex tikseb \frac{-4}{4}.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}x+\frac{-4}{4}$$

Iddividi -4 b'4 biex tikseb-1.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}x-1$$

Naqqas \frac{1}{4}x miż-żewġ naħat.

$$\frac{6}{5}-\frac{3}{5}x-\frac{1}{4}x=-1$$

Ikkombina -\frac{3}{5}x u -\frac{1}{4}x biex tikseb -\frac{17}{20}x.

$$\frac{6}{5}-\frac{17}{20}x=-1$$

Naqqas \frac{6}{5} miż-żewġ naħat.

$$-\frac{17}{20}x=-1-\frac{6}{5}$$

Ikkonverti -1 fi frazzjoni -\frac{5}{5}.

$$-\frac{17}{20}x=-\frac{5}{5}-\frac{6}{5}$$

Billi -\frac{5}{5} u \frac{6}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-\frac{17}{20}x=\frac{-5-6}{5}$$

Naqqas 6 minn -5 biex tikseb -11.

$$-\frac{17}{20}x=-\frac{11}{5}$$

Immultiplika ż-żewġ naħat b'-\frac{20}{17}, ir-reċiproku ta' -\frac{17}{20}.

$$x=-\frac{11}{5}\left(-\frac{20}{17}\right)$$

Immultiplika -\frac{11}{5} b'-\frac{20}{17} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$x=\frac{-11\left(-20\right)}{5\times 17}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{-11\left(-20\right)}{5\times 17}.

$$x=\frac{220}{85}$$

Naqqas il-frazzjoni \frac{220}{85} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$x=\frac{44}{17}$$