Issolvi 1/25(20-x)=4/25x-3/5

$$\frac { 1 } { 25 } ( 20 - x ) = \frac { 4 } { 25 } x - \frac { 3 } { 5 }$$

Solvi għal x

$$x=7$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{25} b'20-x.

$$\frac{1}{25}\times 20+\frac{1}{25}\left(-1\right)x=\frac{4}{25}x-\frac{3}{5}$$

Immultiplika \frac{1}{25} u 20 biex tikseb \frac{20}{25}.

$$\frac{20}{25}+\frac{1}{25}\left(-1\right)x=\frac{4}{25}x-\frac{3}{5}$$

Naqqas il-frazzjoni \frac{20}{25} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{4}{5}+\frac{1}{25}\left(-1\right)x=\frac{4}{25}x-\frac{3}{5}$$

Immultiplika \frac{1}{25} u -1 biex tikseb -\frac{1}{25}.

$$\frac{4}{5}-\frac{1}{25}x=\frac{4}{25}x-\frac{3}{5}$$

Naqqas \frac{4}{25}x miż-żewġ naħat.

$$\frac{4}{5}-\frac{1}{25}x-\frac{4}{25}x=-\frac{3}{5}$$

Ikkombina -\frac{1}{25}x u -\frac{4}{25}x biex tikseb -\frac{1}{5}x.

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

Naqqas \frac{4}{5} miż-żewġ naħat.

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

Billi -\frac{3}{5} u \frac{4}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Naqqas 4 minn -3 biex tikseb -7.

$$-\frac{1}{5}x=-\frac{7}{5}$$

Immultiplika ż-żewġ naħat b'-5, ir-reċiproku ta' -\frac{1}{5}.

$$x=-\frac{7}{5}\left(-5\right)$$

Esprimi -\frac{7}{5}\left(-5\right) bħala frazzjoni waħda.

$$x=\frac{-7\left(-5\right)}{5}$$

Immultiplika -7 u -5 biex tikseb 35.

$$x=\frac{35}{5}$$

Iddividi 35 b'5 biex tikseb7.

$$x=7$$