Issolvi 4(3/5y+1/100)+5y=8/15

$$4 ( \frac { 3 } { 5 } y + \frac { 1 } { 100 } ) + 5 y = \frac { 8 } { 15 }$$

Solvi għal y

$$y=\frac{1}{15}\approx 0.066666667$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 4 b'\frac{3}{5}y+\frac{1}{100}.

$$4\times \frac{3}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

Esprimi 4\times \frac{3}{5} bħala frazzjoni waħda.

$$\frac{4\times 3}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

Immultiplika 4 u 3 biex tikseb 12.

$$\frac{12}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

Immultiplika 4 u \frac{1}{100} biex tikseb \frac{4}{100}.

$$\frac{12}{5}y+\frac{4}{100}+5y=\frac{8}{15}$$

Naqqas il-frazzjoni \frac{4}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{12}{5}y+\frac{1}{25}+5y=\frac{8}{15}$$

Ikkombina \frac{12}{5}y u 5y biex tikseb \frac{37}{5}y.

$$\frac{37}{5}y+\frac{1}{25}=\frac{8}{15}$$

Naqqas \frac{1}{25} miż-żewġ naħat.

$$\frac{37}{5}y=\frac{8}{15}-\frac{1}{25}$$

L-inqas multipli komuni ta' 15 u 25 huwa 75. Ikkonverti \frac{8}{15} u \frac{1}{25} fi frazzjonijiet bid-denominatur 75.

$$\frac{37}{5}y=\frac{40}{75}-\frac{3}{75}$$

Billi \frac{40}{75} u \frac{3}{75} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{37}{5}y=\frac{40-3}{75}$$

Naqqas 3 minn 40 biex tikseb 37.

$$\frac{37}{5}y=\frac{37}{75}$$

Immultiplika ż-żewġ naħat b'\frac{5}{37}, ir-reċiproku ta' \frac{37}{5}.

$$y=\frac{37}{75}\times \frac{5}{37}$$

Immultiplika \frac{37}{75} b'\frac{5}{37} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$y=\frac{37\times 5}{75\times 37}$$

Annulla 37 fin-numeratur u d-denominatur.

$$y=\frac{5}{75}$$

Naqqas il-frazzjoni \frac{5}{75} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

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