Issolvi (3/7x-5/6)*12/13=21/2

$$( \frac{ 3 }{ 7 } x- \frac{ 5 }{ 6 } ) \times 1 \frac{ 2 }{ 13 } =2 \frac{ 1 }{ 2 }$$

Solvi għal x

$$x=7$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'546, l-inqas denominatur komuni ta' 7,6,13,2.

$$42\left(\frac{3}{7}x-\frac{5}{6}\right)\left(1\times 13+2\right)=273\left(2\times 2+1\right)$$

Immultiplika 1 u 13 biex tikseb 13.

$$42\left(\frac{3}{7}x-\frac{5}{6}\right)\left(13+2\right)=273\left(2\times 2+1\right)$$

Żid 13 u 2 biex tikseb 15.

$$42\left(\frac{3}{7}x-\frac{5}{6}\right)\times 15=273\left(2\times 2+1\right)$$

Immultiplika 42 u 15 biex tikseb 630.

$$630\left(\frac{3}{7}x-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 630 b'\frac{3}{7}x-\frac{5}{6}.

$$630\times \frac{3}{7}x+630\left(-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

Esprimi 630\times \frac{3}{7} bħala frazzjoni waħda.

$$\frac{630\times 3}{7}x+630\left(-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

Immultiplika 630 u 3 biex tikseb 1890.

$$\frac{1890}{7}x+630\left(-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

Iddividi 1890 b'7 biex tikseb270.

$$270x+630\left(-\frac{5}{6}\right)=273\left(2\times 2+1\right)$$

Esprimi 630\left(-\frac{5}{6}\right) bħala frazzjoni waħda.

$$270x+\frac{630\left(-5\right)}{6}=273\left(2\times 2+1\right)$$

Immultiplika 630 u -5 biex tikseb -3150.

$$270x+\frac{-3150}{6}=273\left(2\times 2+1\right)$$

Iddividi -3150 b'6 biex tikseb-525.

$$270x-525=273\left(2\times 2+1\right)$$

Immultiplika 2 u 2 biex tikseb 4.

$$270x-525=273\left(4+1\right)$$

Żid 4 u 1 biex tikseb 5.

$$270x-525=273\times 5$$

Immultiplika 273 u 5 biex tikseb 1365.

$$270x-525=1365$$

Żid 525 maż-żewġ naħat.

$$270x=1365+525$$

Żid 1365 u 525 biex tikseb 1890.

$$270x=1890$$

Iddividi ż-żewġ naħat b'270.

$$x=\frac{1890}{270}$$

Iddividi 1890 b'270 biex tikseb7.

$$x=7$$