Issolvi 1/3/0.2=1/5-frac{a/7}{frac{1}{4}}

$$\frac { \frac { 1 } { 3 } } { 0.2 } = \frac { \frac { 1 } { 5 } - \frac { a } { 7 } } { \frac { 1 } { 4 } }$$

Solvi għal a

$$a = -\frac{91}{60} = -1\frac{31}{60} \approx -1.516666667$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Esprimi \frac{\frac{1}{3}}{0.2} bħala frazzjoni waħda.

$$\frac{1}{3\times 0.2}=\frac{\frac{1}{5}-\frac{a}{7}}{\frac{1}{4}}$$

Immultiplika 3 u 0.2 biex tikseb 0.6.

$$\frac{1}{0.6}=\frac{\frac{1}{5}-\frac{a}{7}}{\frac{1}{4}}$$

Espandi \frac{1}{0.6} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$\frac{10}{6}=\frac{\frac{1}{5}-\frac{a}{7}}{\frac{1}{4}}$$

Naqqas il-frazzjoni \frac{10}{6} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{5}{3}=\frac{\frac{1}{5}-\frac{a}{7}}{\frac{1}{4}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 5 u 7 huwa 35. Immultiplika \frac{1}{5} b'\frac{7}{7}. Immultiplika \frac{a}{7} b'\frac{5}{5}.

$$\frac{5}{3}=\frac{\frac{7}{35}-\frac{5a}{35}}{\frac{1}{4}}$$

Billi \frac{7}{35} u \frac{5a}{35} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{5}{3}=\frac{\frac{7-5a}{35}}{\frac{1}{4}}$$

Iddividi kull terminu ta' 7-5a b'35 biex tikseb\frac{1}{5}-\frac{1}{7}a.

$$\frac{5}{3}=\frac{\frac{1}{5}-\frac{1}{7}a}{\frac{1}{4}}$$

Iddividi kull terminu ta' \frac{1}{5}-\frac{1}{7}a b'\frac{1}{4} biex tikseb\frac{\frac{1}{5}}{\frac{1}{4}}+\frac{-\frac{1}{7}a}{\frac{1}{4}}.

$$\frac{5}{3}=\frac{\frac{1}{5}}{\frac{1}{4}}+\frac{-\frac{1}{7}a}{\frac{1}{4}}$$

Iddividi \frac{1}{5} b'\frac{1}{4} billi timmultiplika \frac{1}{5} bir-reċiproku ta' \frac{1}{4}.

$$\frac{5}{3}=\frac{1}{5}\times 4+\frac{-\frac{1}{7}a}{\frac{1}{4}}$$

Immultiplika \frac{1}{5} u 4 biex tikseb \frac{4}{5}.

$$\frac{5}{3}=\frac{4}{5}+\frac{-\frac{1}{7}a}{\frac{1}{4}}$$

Iddividi -\frac{1}{7}a b'\frac{1}{4} biex tikseb-\frac{4}{7}a.

$$\frac{5}{3}=\frac{4}{5}-\frac{4}{7}a$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\frac{4}{5}-\frac{4}{7}a=\frac{5}{3}$$

Naqqas \frac{4}{5} miż-żewġ naħat.

$$-\frac{4}{7}a=\frac{5}{3}-\frac{4}{5}$$

L-inqas multipli komuni ta' 3 u 5 huwa 15. Ikkonverti \frac{5}{3} u \frac{4}{5} fi frazzjonijiet bid-denominatur 15.

$$-\frac{4}{7}a=\frac{25}{15}-\frac{12}{15}$$

Billi \frac{25}{15} u \frac{12}{15} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-\frac{4}{7}a=\frac{25-12}{15}$$

Naqqas 12 minn 25 biex tikseb 13.

$$-\frac{4}{7}a=\frac{13}{15}$$

Immultiplika ż-żewġ naħat b'-\frac{7}{4}, ir-reċiproku ta' -\frac{4}{7}.

$$a=\frac{13}{15}\left(-\frac{7}{4}\right)$$

Immultiplika \frac{13}{15} b'-\frac{7}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$a=\frac{13\left(-7\right)}{15\times 4}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{13\left(-7\right)}{15\times 4}.

$$a=\frac{-91}{60}$$

Frazzjoni \frac{-91}{60} tista' tinkiteb mill-ġdid bħala -\frac{91}{60} bl-estrazzjoni tas-sinjal negattiv.

$$a=-\frac{91}{60}$$