Issolvi 0.4y+0.9/0.5-0.3+0.2y/0.3=1

$$\frac { 0.4 y + 0.9 } { 0.5 } - \frac { 0.3 + 0.2 y } { 0.3 } = 1$$

Solvi għal y

$$y=1.5$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Iddividi kull terminu ta' 0.4y+0.9 b'0.5 biex tikseb\frac{0.4y}{0.5}+\frac{0.9}{0.5}.

$$\frac{0.4y}{0.5}+\frac{0.9}{0.5}-\frac{0.3+0.2y}{0.3}=1$$

Iddividi 0.4y b'0.5 biex tikseb0.8y.

$$0.8y+\frac{0.9}{0.5}-\frac{0.3+0.2y}{0.3}=1$$

Espandi \frac{0.9}{0.5} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$0.8y+\frac{9}{5}-\frac{0.3+0.2y}{0.3}=1$$

Iddividi kull terminu ta' 0.3+0.2y b'0.3 biex tikseb\frac{0.3}{0.3}+\frac{0.2y}{0.3}.

$$0.8y+\frac{9}{5}-\left(\frac{0.3}{0.3}+\frac{0.2y}{0.3}\right)=1$$

Iddividi 0.3 b'0.3 biex tikseb1.

$$0.8y+\frac{9}{5}-\left(1+\frac{0.2y}{0.3}\right)=1$$

Iddividi 0.2y b'0.3 biex tikseb\frac{2}{3}y.

$$0.8y+\frac{9}{5}-\left(1+\frac{2}{3}y\right)=1$$

Biex issib l-oppost ta' 1+\frac{2}{3}y, sib l-oppost ta' kull terminu.

$$0.8y+\frac{9}{5}-1-\frac{2}{3}y=1$$

Ikkonverti 1 fi frazzjoni \frac{5}{5}.

$$0.8y+\frac{9}{5}-\frac{5}{5}-\frac{2}{3}y=1$$

Billi \frac{9}{5} u \frac{5}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$0.8y+\frac{9-5}{5}-\frac{2}{3}y=1$$

Naqqas 5 minn 9 biex tikseb 4.

$$0.8y+\frac{4}{5}-\frac{2}{3}y=1$$

Ikkombina 0.8y u -\frac{2}{3}y biex tikseb \frac{2}{15}y.

$$\frac{2}{15}y+\frac{4}{5}=1$$

Naqqas \frac{4}{5} miż-żewġ naħat.

$$\frac{2}{15}y=1-\frac{4}{5}$$

Ikkonverti 1 fi frazzjoni \frac{5}{5}.

$$\frac{2}{15}y=\frac{5}{5}-\frac{4}{5}$$

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

$$\frac{2}{15}y=\frac{5-4}{5}$$

Naqqas 4 minn 5 biex tikseb 1.

$$\frac{2}{15}y=\frac{1}{5}$$

Iddividi ż-żewġ naħat b'\frac{2}{15}.

$$y=\frac{\frac{1}{5}}{\frac{2}{15}}$$

Esprimi \frac{\frac{1}{5}}{\frac{2}{15}} bħala frazzjoni waħda.

$$y=\frac{1}{5\times \frac{2}{15}}$$

Immultiplika 5 u \frac{2}{15} biex tikseb \frac{2}{3}.

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