Issolvi 1/5(2y+4)=1/2(y-3)

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

Solvi għal y

$$y=23$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{5} b'2y+4.

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

Immultiplika \frac{1}{5} u 2 biex tikseb \frac{2}{5}.

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

Immultiplika \frac{1}{5} u 4 biex tikseb \frac{4}{5}.

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

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

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

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

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

Frazzjoni \frac{-3}{2} tista' tinkiteb mill-ġdid bħala -\frac{3}{2} bl-estrazzjoni tas-sinjal negattiv.

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

Naqqas \frac{1}{2}y miż-żewġ naħat.

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

Ikkombina \frac{2}{5}y u -\frac{1}{2}y biex tikseb -\frac{1}{10}y.

$$-\frac{1}{10}y+\frac{4}{5}=-\frac{3}{2}$$

Naqqas \frac{4}{5} miż-żewġ naħat.

$$-\frac{1}{10}y=-\frac{3}{2}-\frac{4}{5}$$

L-inqas multipli komuni ta' 2 u 5 huwa 10. Ikkonverti -\frac{3}{2} u \frac{4}{5} fi frazzjonijiet bid-denominatur 10.

$$-\frac{1}{10}y=-\frac{15}{10}-\frac{8}{10}$$

Billi -\frac{15}{10} u \frac{8}{10} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-\frac{1}{10}y=\frac{-15-8}{10}$$

Naqqas 8 minn -15 biex tikseb -23.

$$-\frac{1}{10}y=-\frac{23}{10}$$

Immultiplika ż-żewġ naħat b'-10, ir-reċiproku ta' -\frac{1}{10}.

$$y=-\frac{23}{10}\left(-10\right)$$

Esprimi -\frac{23}{10}\left(-10\right) bħala frazzjoni waħda.

$$y=\frac{-23\left(-10\right)}{10}$$

Immultiplika -23 u -10 biex tikseb 230.

$$y=\frac{230}{10}$$

Iddividi 230 b'10 biex tikseb23.

$$y=23$$