Issolvi 12/5(r-2)=2/3[3r-2(2r-1)]

$$\frac { 12 } { 5 } ( r - 2 ) = \frac { 2 } { 3 } [ 3 r - 2 ( 2 r - 1 ) ]$$

Solvi għal r

$$r=2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika \frac{12}{5} b'r-2.

$$\frac{12}{5}r+\frac{12}{5}\left(-2\right)=\frac{2}{3}\left(3r-2\left(2r-1\right)\right)$$

Esprimi \frac{12}{5}\left(-2\right) bħala frazzjoni waħda.

$$\frac{12}{5}r+\frac{12\left(-2\right)}{5}=\frac{2}{3}\left(3r-2\left(2r-1\right)\right)$$

Immultiplika 12 u -2 biex tikseb -24.

$$\frac{12}{5}r+\frac{-24}{5}=\frac{2}{3}\left(3r-2\left(2r-1\right)\right)$$

Frazzjoni \frac{-24}{5} tista' tinkiteb mill-ġdid bħala -\frac{24}{5} bl-estrazzjoni tas-sinjal negattiv.

$$\frac{12}{5}r-\frac{24}{5}=\frac{2}{3}\left(3r-2\left(2r-1\right)\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'2r-1.

$$\frac{12}{5}r-\frac{24}{5}=\frac{2}{3}\left(3r-4r+2\right)$$

Ikkombina 3r u -4r biex tikseb -r.

$$\frac{12}{5}r-\frac{24}{5}=\frac{2}{3}\left(-r+2\right)$$

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

$$\frac{12}{5}r-\frac{24}{5}=\frac{2}{3}\left(-1\right)r+\frac{2}{3}\times 2$$

Immultiplika \frac{2}{3} u -1 biex tikseb -\frac{2}{3}.

$$\frac{12}{5}r-\frac{24}{5}=-\frac{2}{3}r+\frac{2}{3}\times 2$$

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

$$\frac{12}{5}r-\frac{24}{5}=-\frac{2}{3}r+\frac{2\times 2}{3}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{12}{5}r-\frac{24}{5}=-\frac{2}{3}r+\frac{4}{3}$$

Żid \frac{2}{3}r maż-żewġ naħat.

$$\frac{12}{5}r-\frac{24}{5}+\frac{2}{3}r=\frac{4}{3}$$

Ikkombina \frac{12}{5}r u \frac{2}{3}r biex tikseb \frac{46}{15}r.

$$\frac{46}{15}r-\frac{24}{5}=\frac{4}{3}$$

Żid \frac{24}{5} maż-żewġ naħat.

$$\frac{46}{15}r=\frac{4}{3}+\frac{24}{5}$$

L-inqas multipli komuni ta' 3 u 5 huwa 15. Ikkonverti \frac{4}{3} u \frac{24}{5} fi frazzjonijiet bid-denominatur 15.

$$\frac{46}{15}r=\frac{20}{15}+\frac{72}{15}$$

Billi \frac{20}{15} u \frac{72}{15} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{46}{15}r=\frac{20+72}{15}$$

Żid 20 u 72 biex tikseb 92.

$$\frac{46}{15}r=\frac{92}{15}$$

Immultiplika ż-żewġ naħat b'\frac{15}{46}, ir-reċiproku ta' \frac{46}{15}.

$$r=\frac{92}{15}\times \frac{15}{46}$$

Immultiplika \frac{92}{15} b'\frac{15}{46} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$r=\frac{92\times 15}{15\times 46}$$

Annulla 15 fin-numeratur u d-denominatur.

$$r=\frac{92}{46}$$

Iddividi 92 b'46 biex tikseb2.

$$r=2$$