Issolvi 1440*(1+x/100)+160*(1-x/250)*25=4960+176x

$$1440 \times (1+ \frac{ x }{ 100 } )+160 \times (1- \frac{ x }{ 250 } ) \times 25=4960+176x$$

Solvi għal x

$$x = \frac{100}{37} = 2\frac{26}{37} \approx 2.702702703$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'500, l-inqas denominatur komuni ta' 100,250.

$$720000\left(1+\frac{x}{100}\right)+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

Uża l-propjetà distributtiva biex timmultiplika 720000 b'1+\frac{x}{100}.

$$720000+720000\times \frac{x}{100}+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

Ikkanċella l-akbar fattur komuni 100 f'720000 u 100.

$$720000+7200x+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

Immultiplika 80000 u 25 biex tikseb 2000000.

$$720000+7200x+2000000\left(1-\frac{x}{250}\right)=2480000+88000x$$

Uża l-propjetà distributtiva biex timmultiplika 2000000 b'1-\frac{x}{250}.

$$720000+7200x+2000000+2000000\left(-\frac{x}{250}\right)=2480000+88000x$$

Ikkanċella l-akbar fattur komuni 250 f'2000000 u 250.

$$720000+7200x+2000000-8000x=2480000+88000x$$

Żid 720000 u 2000000 biex tikseb 2720000.

$$2720000+7200x-8000x=2480000+88000x$$

Ikkombina 7200x u -8000x biex tikseb -800x.

$$2720000-800x=2480000+88000x$$

Naqqas 88000x miż-żewġ naħat.

$$2720000-800x-88000x=2480000$$

Ikkombina -800x u -88000x biex tikseb -88800x.

$$2720000-88800x=2480000$$

Naqqas 2720000 miż-żewġ naħat.

$$-88800x=2480000-2720000$$

Naqqas 2720000 minn 2480000 biex tikseb -240000.

$$-88800x=-240000$$

Iddividi ż-żewġ naħat b'-88800.

$$x=\frac{-240000}{-88800}$$

Naqqas il-frazzjoni \frac{-240000}{-88800} għat-termini l-aktar baxxi billi testratta u tikkanċella barra -2400.

$$x=\frac{100}{37}$$