Issolvi x/x-1+2x/x+1=3

$$\frac { x } { x - 1 } + \frac { 2 x } { x + 1 } = 3$$

Solvi għal x

$$x=3$$

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.

$$\left(x+1\right)x+\left(x-1\right)\times 2x=3\left(x-1\right)\left(x+1\right)$$

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

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

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

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

Uża l-propjetà distributtiva biex timmultiplika 2x-2 b'x.

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

Ikkombina x^{2} u 2x^{2} biex tikseb 3x^{2}.

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

Ikkombina x u -2x biex tikseb -x.

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

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

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

Uża l-propjetà distributtiva biex timmultiplika 3x-3 b'x+1 u kkombina termini simili.

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

Naqqas 3x^{2} miż-żewġ naħat.

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

Ikkombina 3x^{2} u -3x^{2} biex tikseb 0.

$$-x=-3$$

Immultiplika ż-żewġ naħat b'-1.

$$x=3$$