Issolvi 7/2-x-5/2x-1=3/2

$$\frac{ 7 }{ 2 } - \frac{ x-5 }{ 2x-1 } = \frac{ 3 }{ 2 }$$

Solvi għal x

$$x=-1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli x ma jistax ikun ugwali għal \frac{1}{2} billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2\left(2x-1\right), l-inqas denominatur komuni ta' 2,2x-1.

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

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

$$\left(4x-2\right)\times \frac{7}{2}-2\left(x-5\right)=3\left(2x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4x-2 b'\frac{7}{2}.

$$14x-7-2\left(x-5\right)=3\left(2x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'x-5.

$$14x-7-2x+10=3\left(2x-1\right)$$

Ikkombina 14x u -2x biex tikseb 12x.

$$12x-7+10=3\left(2x-1\right)$$

Żid -7 u 10 biex tikseb 3.

$$12x+3=3\left(2x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 3 b'2x-1.

$$12x+3=6x-3$$

Naqqas 6x miż-żewġ naħat.

$$12x+3-6x=-3$$

Ikkombina 12x u -6x biex tikseb 6x.

$$6x+3=-3$$

Naqqas 3 miż-żewġ naħat.

$$6x=-3-3$$

Naqqas 3 minn -3 biex tikseb -6.

$$6x=-6$$

Iddividi ż-żewġ naħat b'6.

$$x=\frac{-6}{6}$$

Iddividi -6 b'6 biex tikseb-1.

$$x=-1$$