Issolvi 3/x+1=x/x-1-1

$$\frac{ 3 }{ x+1 } = \frac{ x }{ x-1 } -1$$

Solvi għal x

$$x=2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli x ma jistax ikun ugwali għal kwalunkwe mill-valuri -1,1 billi d-diviżjoni b'żero mhix definita. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'\left(x-1\right)\left(x+1\right), l-inqas denominatur komuni ta' x+1,x-1.

$$\left(x-1\right)\times 3=\left(x+1\right)x+\left(x-1\right)\left(x+1\right)\left(-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika x-1 b'3.

$$3x-3=\left(x+1\right)x+\left(x-1\right)\left(x+1\right)\left(-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika x+1 b'x.

$$3x-3=x^{2}+x+\left(x-1\right)\left(x+1\right)\left(-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika x-1 b'x+1 u kkombina termini simili.

$$3x-3=x^{2}+x+\left(x^{2}-1\right)\left(-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika x^{2}-1 b'-1.

$$3x-3=x^{2}+x-x^{2}+1$$

Ikkombina x^{2} u -x^{2} biex tikseb 0.

$$3x-3=x+1$$

Naqqas x miż-żewġ naħat.

$$3x-3-x=1$$

Ikkombina 3x u -x biex tikseb 2x.

$$2x-3=1$$

Żid 3 maż-żewġ naħat.

$$2x=1+3$$

Żid 1 u 3 biex tikseb 4.

$$2x=4$$

Iddividi ż-żewġ naħat b'2.

$$x=\frac{4}{2}$$

Iddividi 4 b'2 biex tikseb2.

$$x=2$$