Issolvi 0.05left(2000+2xright)=0.04left(2300-6xright)

$$0.05 \left( 2000+2x \right) = 0.04 \left( 2300-6x \right)$$

Solvi għal x

$$x = -\frac{400}{17} = -23\frac{9}{17} \approx -23.529411765$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 0.05 b'2000+2x.

$$100+0.1x=0.04\left(2300-6x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 0.04 b'2300-6x.

$$100+0.1x=92-0.24x$$

Żid 0.24x maż-żewġ naħat.

$$100+0.1x+0.24x=92$$

Ikkombina 0.1x u 0.24x biex tikseb 0.34x.

$$100+0.34x=92$$

Naqqas 100 miż-żewġ naħat.

$$0.34x=92-100$$

Naqqas 100 minn 92 biex tikseb -8.

$$0.34x=-8$$

Iddividi ż-żewġ naħat b'0.34.

$$x=\frac{-8}{0.34}$$

Espandi \frac{-8}{0.34} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$x=\frac{-800}{34}$$

Naqqas il-frazzjoni \frac{-800}{34} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$x=-\frac{400}{17}$$