Issolvi 3x+1/4+-6x+10/6=-5x-1/2

$$\frac { 3 x + 1 } { 4 } + \frac { - 6 x + 10 } { 6 } = \frac { - 5 x - 1 } { 2 }$$

Solvi għal x

$$x = -\frac{29}{27} = -1\frac{2}{27} \approx -1.074074074$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'12, l-inqas denominatur komuni ta' 4,6,2.

$$3\left(3x+1\right)+2\left(-6x+10\right)=6\left(-5x-1\right)$$

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

$$9x+3+2\left(-6x+10\right)=6\left(-5x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'-6x+10.

$$9x+3-12x+20=6\left(-5x-1\right)$$

Ikkombina 9x u -12x biex tikseb -3x.

$$-3x+3+20=6\left(-5x-1\right)$$

Żid 3 u 20 biex tikseb 23.

$$-3x+23=6\left(-5x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 6 b'-5x-1.

$$-3x+23=-30x-6$$

Żid 30x maż-żewġ naħat.

$$-3x+23+30x=-6$$

Ikkombina -3x u 30x biex tikseb 27x.

$$27x+23=-6$$

Naqqas 23 miż-żewġ naħat.

$$27x=-6-23$$

Naqqas 23 minn -6 biex tikseb -29.

$$27x=-29$$

Iddividi ż-żewġ naħat b'27.

$$x=\frac{-29}{27}$$

Frazzjoni \frac{-29}{27} tista' tinkiteb mill-ġdid bħala -\frac{29}{27} bl-estrazzjoni tas-sinjal negattiv.

$$x=-\frac{29}{27}$$