Issolvi 6.5/100x=8.5/100left(2490-xright)

$$\frac{ 6.5 }{ 100 } x = \frac{ 8.5 }{ 100 } \left( 2490-x \right)$$

Solvi għal x

$$x=1411$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Espandi \frac{6.5}{100} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\frac{65}{1000}x=\frac{8.5}{100}\left(2490-x\right)$$

Naqqas il-frazzjoni \frac{65}{1000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{13}{200}x=\frac{8.5}{100}\left(2490-x\right)$$

Espandi \frac{8.5}{100} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\frac{13}{200}x=\frac{85}{1000}\left(2490-x\right)$$

Naqqas il-frazzjoni \frac{85}{1000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{13}{200}x=\frac{17}{200}\left(2490-x\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{17}{200} b'2490-x.

$$\frac{13}{200}x=\frac{17}{200}\times 2490+\frac{17}{200}\left(-1\right)x$$

Esprimi \frac{17}{200}\times 2490 bħala frazzjoni waħda.

$$\frac{13}{200}x=\frac{17\times 2490}{200}+\frac{17}{200}\left(-1\right)x$$

Immultiplika 17 u 2490 biex tikseb 42330.

$$\frac{13}{200}x=\frac{42330}{200}+\frac{17}{200}\left(-1\right)x$$

Naqqas il-frazzjoni \frac{42330}{200} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 10.

$$\frac{13}{200}x=\frac{4233}{20}+\frac{17}{200}\left(-1\right)x$$

Immultiplika \frac{17}{200} u -1 biex tikseb -\frac{17}{200}.

$$\frac{13}{200}x=\frac{4233}{20}-\frac{17}{200}x$$

Żid \frac{17}{200}x maż-żewġ naħat.

$$\frac{13}{200}x+\frac{17}{200}x=\frac{4233}{20}$$

Ikkombina \frac{13}{200}x u \frac{17}{200}x biex tikseb \frac{3}{20}x.

$$\frac{3}{20}x=\frac{4233}{20}$$

Immultiplika ż-żewġ naħat b'\frac{20}{3}, ir-reċiproku ta' \frac{3}{20}.

$$x=\frac{4233}{20}\times \frac{20}{3}$$

Immultiplika \frac{4233}{20} b'\frac{20}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$x=\frac{4233\times 20}{20\times 3}$$

Annulla 20 fin-numeratur u d-denominatur.

$$x=\frac{4233}{3}$$

Iddividi 4233 b'3 biex tikseb1411.

$$x=1411$$