Issolvi 0.05+0.02x/0.03-1-0.3x/0.2=1

$$\frac { 0.05 + 0.02 x } { 0.03 } - \frac { 1 - 0.3 x } { 0.2 } = 1$$

Solvi għal x

$$x=2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Iddividi kull terminu ta' 0.05+0.02x b'0.03 biex tikseb\frac{0.05}{0.03}+\frac{0.02x}{0.03}.

$$\frac{0.05}{0.03}+\frac{0.02x}{0.03}-\frac{1-0.3x}{0.2}=1$$

Espandi \frac{0.05}{0.03} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\frac{5}{3}+\frac{0.02x}{0.03}-\frac{1-0.3x}{0.2}=1$$

Iddividi 0.02x b'0.03 biex tikseb\frac{2}{3}x.

$$\frac{5}{3}+\frac{2}{3}x-\frac{1-0.3x}{0.2}=1$$

Iddividi kull terminu ta' 1-0.3x b'0.2 biex tikseb\frac{1}{0.2}+\frac{-0.3x}{0.2}.

$$\frac{5}{3}+\frac{2}{3}x-\left(\frac{1}{0.2}+\frac{-0.3x}{0.2}\right)=1$$

Espandi \frac{1}{0.2} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\frac{5}{3}+\frac{2}{3}x-\left(\frac{10}{2}+\frac{-0.3x}{0.2}\right)=1$$

Iddividi 10 b'2 biex tikseb5.

$$\frac{5}{3}+\frac{2}{3}x-\left(5+\frac{-0.3x}{0.2}\right)=1$$

Iddividi -0.3x b'0.2 biex tikseb-1.5x.

$$\frac{5}{3}+\frac{2}{3}x-\left(5-1.5x\right)=1$$

Biex issib l-oppost ta' 5-1.5x, sib l-oppost ta' kull terminu.

$$\frac{5}{3}+\frac{2}{3}x-5-\left(-1.5x\right)=1$$

L-oppost ta' -1.5x huwa 1.5x.

$$\frac{5}{3}+\frac{2}{3}x-5+1.5x=1$$

Ikkonverti 5 fi frazzjoni \frac{15}{3}.

$$\frac{5}{3}+\frac{2}{3}x-\frac{15}{3}+1.5x=1$$

Billi \frac{5}{3} u \frac{15}{3} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{5-15}{3}+\frac{2}{3}x+1.5x=1$$

Naqqas 15 minn 5 biex tikseb -10.

$$-\frac{10}{3}+\frac{2}{3}x+1.5x=1$$

Ikkombina \frac{2}{3}x u 1.5x biex tikseb \frac{13}{6}x.

$$-\frac{10}{3}+\frac{13}{6}x=1$$

Żid \frac{10}{3} maż-żewġ naħat.

$$\frac{13}{6}x=1+\frac{10}{3}$$

Ikkonverti 1 fi frazzjoni \frac{3}{3}.

$$\frac{13}{6}x=\frac{3}{3}+\frac{10}{3}$$

Billi \frac{3}{3} u \frac{10}{3} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{13}{6}x=\frac{3+10}{3}$$

Żid 3 u 10 biex tikseb 13.

$$\frac{13}{6}x=\frac{13}{3}$$

Iddividi ż-żewġ naħat b'\frac{13}{6}.

$$x=\frac{\frac{13}{3}}{\frac{13}{6}}$$

Esprimi \frac{\frac{13}{3}}{\frac{13}{6}} bħala frazzjoni waħda.

$$x=\frac{13}{3\times \frac{13}{6}}$$

Immultiplika 3 u \frac{13}{6} biex tikseb 6.5.

$$x=\frac{13}{6.5}$$

Espandi \frac{13}{6.5} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$x=\frac{130}{65}$$

Iddividi 130 b'65 biex tikseb2.

$$x=2$$