Issolvi 0.7(2-5x)-0.5(3x-2)=3(3-4x)

$$0.7(2-5x)-0.5(3x-2)=3(3-4x)$$

Solvi għal x

$$x=\frac{33}{35}\approx 0.942857143$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 0.7 b'2-5x.

$$1.4-3.5x-0.5\left(3x-2\right)=3\left(3-4x\right)$$

Uża l-propjetà distributtiva biex timmultiplika -0.5 b'3x-2.

$$1.4-3.5x-1.5x+1=3\left(3-4x\right)$$

Ikkombina -3.5x u -1.5x biex tikseb -5x.

$$1.4-5x+1=3\left(3-4x\right)$$

Żid 1.4 u 1 biex tikseb 2.4.

$$2.4-5x=3\left(3-4x\right)$$

Uża l-propjetà distributtiva biex timmultiplika 3 b'3-4x.

$$2.4-5x=9-12x$$

Żid 12x maż-żewġ naħat.

$$2.4-5x+12x=9$$

Ikkombina -5x u 12x biex tikseb 7x.

$$2.4+7x=9$$

Naqqas 2.4 miż-żewġ naħat.

$$7x=9-2.4$$

Naqqas 2.4 minn 9 biex tikseb 6.6.

$$7x=6.6$$

Iddividi ż-żewġ naħat b'7.

$$x=\frac{6.6}{7}$$

Espandi \frac{6.6}{7} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$x=\frac{66}{70}$$

Naqqas il-frazzjoni \frac{66}{70} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$x=\frac{33}{35}$$