Issolvi 7x-1/0.024=1-0.2x/0.018-5x+1/0.012

$$\frac { 7 x - 1 } { 0.024 } = \frac { 1 - 0.2 x } { 0.018 } - \frac { 5 x + 1 } { 0.012 }$$

Solvi għal x

$$x=\frac{5}{259}\approx 0.019305019$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Iddividi kull terminu ta' 7x-1 b'0.024 biex tikseb\frac{7x}{0.024}+\frac{-1}{0.024}.

$$\frac{7x}{0.024}+\frac{-1}{0.024}=\frac{1-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Iddividi 7x b'0.024 biex tikseb\frac{875}{3}x.

$$\frac{875}{3}x+\frac{-1}{0.024}=\frac{1-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Espandi \frac{-1}{0.024} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000.

$$\frac{875}{3}x+\frac{-1000}{24}=\frac{1-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Naqqas il-frazzjoni \frac{-1000}{24} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 8.

$$\frac{875}{3}x-\frac{125}{3}=\frac{1-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Iddividi kull terminu ta' 1-0.2x b'0.018 biex tikseb\frac{1}{0.018}+\frac{-0.2x}{0.018}.

$$\frac{875}{3}x-\frac{125}{3}=\frac{1}{0.018}+\frac{-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Espandi \frac{1}{0.018} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000.

$$\frac{875}{3}x-\frac{125}{3}=\frac{1000}{18}+\frac{-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Naqqas il-frazzjoni \frac{1000}{18} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}+\frac{-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Iddividi -0.2x b'0.018 biex tikseb-\frac{100}{9}x.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\frac{5x+1}{0.012}$$

Iddividi kull terminu ta' 5x+1 b'0.012 biex tikseb\frac{5x}{0.012}+\frac{1}{0.012}.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\left(\frac{5x}{0.012}+\frac{1}{0.012}\right)$$

Iddividi 5x b'0.012 biex tikseb\frac{1250}{3}x.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\left(\frac{1250}{3}x+\frac{1}{0.012}\right)$$

Espandi \frac{1}{0.012} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\left(\frac{1250}{3}x+\frac{1000}{12}\right)$$

Naqqas il-frazzjoni \frac{1000}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\left(\frac{1250}{3}x+\frac{250}{3}\right)$$

Biex issib l-oppost ta' \frac{1250}{3}x+\frac{250}{3}, sib l-oppost ta' kull terminu.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\frac{1250}{3}x-\frac{250}{3}$$

Ikkombina -\frac{100}{9}x u -\frac{1250}{3}x biex tikseb -\frac{3850}{9}x.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{3850}{9}x-\frac{250}{3}$$

L-inqas multipli komuni ta' 9 u 3 huwa 9. Ikkonverti \frac{500}{9} u \frac{250}{3} fi frazzjonijiet bid-denominatur 9.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{3850}{9}x-\frac{750}{9}$$

Billi \frac{500}{9} u \frac{750}{9} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500-750}{9}-\frac{3850}{9}x$$

Naqqas 750 minn 500 biex tikseb -250.

$$\frac{875}{3}x-\frac{125}{3}=-\frac{250}{9}-\frac{3850}{9}x$$

Żid \frac{3850}{9}x maż-żewġ naħat.

$$\frac{875}{3}x-\frac{125}{3}+\frac{3850}{9}x=-\frac{250}{9}$$

Ikkombina \frac{875}{3}x u \frac{3850}{9}x biex tikseb \frac{6475}{9}x.

$$\frac{6475}{9}x-\frac{125}{3}=-\frac{250}{9}$$

Żid \frac{125}{3} maż-żewġ naħat.

$$\frac{6475}{9}x=-\frac{250}{9}+\frac{125}{3}$$

L-inqas multipli komuni ta' 9 u 3 huwa 9. Ikkonverti -\frac{250}{9} u \frac{125}{3} fi frazzjonijiet bid-denominatur 9.

$$\frac{6475}{9}x=-\frac{250}{9}+\frac{375}{9}$$

Billi -\frac{250}{9} u \frac{375}{9} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{6475}{9}x=\frac{-250+375}{9}$$

Żid -250 u 375 biex tikseb 125.

$$\frac{6475}{9}x=\frac{125}{9}$$

Iddividi ż-żewġ naħat b'\frac{6475}{9}.

$$x=\frac{\frac{125}{9}}{\frac{6475}{9}}$$

Esprimi \frac{\frac{125}{9}}{\frac{6475}{9}} bħala frazzjoni waħda.

$$x=\frac{125}{9\times \frac{6475}{9}}$$

Immultiplika 9 u \frac{6475}{9} biex tikseb 6475.

$$x=\frac{125}{6475}$$

Naqqas il-frazzjoni \frac{125}{6475} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 25.

$$x=\frac{5}{259}$$