Issolvi 0.9x-0.5x-200=0.9x0.2%

$$0.9x-0.5x-200 = 0.9x0.2 \%$$

Solvi għal x

$$x = \frac{1000000}{1991} = 502\frac{518}{1991} \approx 502.260170768$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ikkombina 0.9x u -0.5x biex tikseb 0.4x.

$$0.4x-200=0.9x\times \frac{0.2}{100}$$

Espandi \frac{0.2}{100} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$0.4x-200=0.9x\times \frac{2}{1000}$$

Naqqas il-frazzjoni \frac{2}{1000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$0.4x-200=0.9x\times \frac{1}{500}$$

Ikkonverti n-numru deċimali 0.9 fi frazzjoni \frac{9}{10}.

$$0.4x-200=\frac{9}{10}x\times \frac{1}{500}$$

Immultiplika \frac{9}{10} b'\frac{1}{500} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$0.4x-200=\frac{9\times 1}{10\times 500}x$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{9\times 1}{10\times 500}.

$$0.4x-200=\frac{9}{5000}x$$

Naqqas \frac{9}{5000}x miż-żewġ naħat.

$$0.4x-200-\frac{9}{5000}x=0$$

Ikkombina 0.4x u -\frac{9}{5000}x biex tikseb \frac{1991}{5000}x.

$$\frac{1991}{5000}x-200=0$$

Żid 200 maż-żewġ naħat. Xi ħaġa plus żero jirriżulta f'dan in-numru stess.

$$\frac{1991}{5000}x=200$$

Immultiplika ż-żewġ naħat b'\frac{5000}{1991}, ir-reċiproku ta' \frac{1991}{5000}.

$$x=200\times \frac{5000}{1991}$$

Esprimi 200\times \frac{5000}{1991} bħala frazzjoni waħda.

$$x=\frac{200\times 5000}{1991}$$

Immultiplika 200 u 5000 biex tikseb 1000000.

$$x=\frac{1000000}{1991}$$