Issolvi 4/5(y+5/6)-2/3(y-1/4)=frac{7}{6}

$$\frac { 4 } { 5 } ( y + \frac { 5 } { 6 } ) - \frac { 2 } { 3 } ( y - \frac { 1 } { 4 } ) = \frac { 7 } { 6 }$$

Solvi għal y

$$y = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika \frac{4}{5} b'y+\frac{5}{6}.

$$\frac{4}{5}y+\frac{4}{5}\times \frac{5}{6}-\frac{2}{3}\left(y-\frac{1}{4}\right)=\frac{7}{6}$$

Immultiplika \frac{4}{5} b'\frac{5}{6} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{4}{5}y+\frac{4\times 5}{5\times 6}-\frac{2}{3}\left(y-\frac{1}{4}\right)=\frac{7}{6}$$

Annulla 5 fin-numeratur u d-denominatur.

$$\frac{4}{5}y+\frac{4}{6}-\frac{2}{3}\left(y-\frac{1}{4}\right)=\frac{7}{6}$$

Naqqas il-frazzjoni \frac{4}{6} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{4}{5}y+\frac{2}{3}-\frac{2}{3}\left(y-\frac{1}{4}\right)=\frac{7}{6}$$

Uża l-propjetà distributtiva biex timmultiplika -\frac{2}{3} b'y-\frac{1}{4}.

$$\frac{4}{5}y+\frac{2}{3}-\frac{2}{3}y-\frac{2}{3}\left(-\frac{1}{4}\right)=\frac{7}{6}$$

Immultiplika -\frac{2}{3} b'-\frac{1}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{4}{5}y+\frac{2}{3}-\frac{2}{3}y+\frac{-2\left(-1\right)}{3\times 4}=\frac{7}{6}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{-2\left(-1\right)}{3\times 4}.

$$\frac{4}{5}y+\frac{2}{3}-\frac{2}{3}y+\frac{2}{12}=\frac{7}{6}$$

Naqqas il-frazzjoni \frac{2}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{4}{5}y+\frac{2}{3}-\frac{2}{3}y+\frac{1}{6}=\frac{7}{6}$$

Ikkombina \frac{4}{5}y u -\frac{2}{3}y biex tikseb \frac{2}{15}y.

$$\frac{2}{15}y+\frac{2}{3}+\frac{1}{6}=\frac{7}{6}$$

L-inqas multipli komuni ta' 3 u 6 huwa 6. Ikkonverti \frac{2}{3} u \frac{1}{6} fi frazzjonijiet bid-denominatur 6.

$$\frac{2}{15}y+\frac{4}{6}+\frac{1}{6}=\frac{7}{6}$$

Billi \frac{4}{6} u \frac{1}{6} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{2}{15}y+\frac{4+1}{6}=\frac{7}{6}$$

Żid 4 u 1 biex tikseb 5.

$$\frac{2}{15}y+\frac{5}{6}=\frac{7}{6}$$

Naqqas \frac{5}{6} miż-żewġ naħat.

$$\frac{2}{15}y=\frac{7}{6}-\frac{5}{6}$$

Billi \frac{7}{6} u \frac{5}{6} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{2}{15}y=\frac{7-5}{6}$$

Naqqas 5 minn 7 biex tikseb 2.

$$\frac{2}{15}y=\frac{2}{6}$$

Naqqas il-frazzjoni \frac{2}{6} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{2}{15}y=\frac{1}{3}$$

Immultiplika ż-żewġ naħat b'\frac{15}{2}, ir-reċiproku ta' \frac{2}{15}.

$$y=\frac{1}{3}\times \frac{15}{2}$$

Immultiplika \frac{1}{3} b'\frac{15}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$y=\frac{1\times 15}{3\times 2}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 15}{3\times 2}.

$$y=\frac{15}{6}$$

Naqqas il-frazzjoni \frac{15}{6} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$y=\frac{5}{2}$$