Issolvi 112%=beta(12%-4%)+4%

$$112 \% = \beta ( 12 \% - 4 \% ) + 4 \%$$

Solvi għal β

$$\beta =\frac{27}{2}=13.5$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas il-frazzjoni \frac{112}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{28}{25}=\beta \left(\frac{12}{100}-\frac{4}{100}\right)+\frac{4}{100}$$

Naqqas il-frazzjoni \frac{12}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{28}{25}=\beta \left(\frac{3}{25}-\frac{4}{100}\right)+\frac{4}{100}$$

Naqqas il-frazzjoni \frac{4}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{28}{25}=\beta \left(\frac{3}{25}-\frac{1}{25}\right)+\frac{4}{100}$$

Billi \frac{3}{25} u \frac{1}{25} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{28}{25}=\beta \times \frac{3-1}{25}+\frac{4}{100}$$

Naqqas 1 minn 3 biex tikseb 2.

$$\frac{28}{25}=\beta \times \frac{2}{25}+\frac{4}{100}$$

Naqqas il-frazzjoni \frac{4}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{28}{25}=\beta \times \frac{2}{25}+\frac{1}{25}$$

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

$$\beta \times \frac{2}{25}+\frac{1}{25}=\frac{28}{25}$$

Naqqas \frac{1}{25} miż-żewġ naħat.

$$\beta \times \frac{2}{25}=\frac{28}{25}-\frac{1}{25}$$

Billi \frac{28}{25} u \frac{1}{25} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\beta \times \frac{2}{25}=\frac{28-1}{25}$$

Naqqas 1 minn 28 biex tikseb 27.

$$\beta \times \frac{2}{25}=\frac{27}{25}$$

Immultiplika ż-żewġ naħat b'\frac{25}{2}, ir-reċiproku ta' \frac{2}{25}.

$$\beta =\frac{27}{25}\times \frac{25}{2}$$

Immultiplika \frac{27}{25} b'\frac{25}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\beta =\frac{27\times 25}{25\times 2}$$

Annulla 25 fin-numeratur u d-denominatur.

$$\beta =\frac{27}{2}$$