Issolvi 0.04x+0.09/0.05-0.3x+0.2/0.3=x-5/2

$$\frac { 0.04 x + 0.09 } { 0.05 } - \frac { 0.3 x + 0.2 } { 0.3 } = \frac { x - 5 } { 2 }$$

Solvi għal x

$$x = \frac{109}{21} = 5\frac{4}{21} \approx 5.19047619$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2.

$$2\times \frac{0.04x+0.09}{0.05}-2\times \frac{0.3x+0.2}{0.3}=x-5$$

Iddividi kull terminu ta' 0.04x+0.09 b'0.05 biex tikseb\frac{0.04x}{0.05}+\frac{0.09}{0.05}.

$$2\left(\frac{0.04x}{0.05}+\frac{0.09}{0.05}\right)-2\times \frac{0.3x+0.2}{0.3}=x-5$$

Iddividi 0.04x b'0.05 biex tikseb0.8x.

$$2\left(0.8x+\frac{0.09}{0.05}\right)-2\times \frac{0.3x+0.2}{0.3}=x-5$$

Espandi \frac{0.09}{0.05} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$2\left(0.8x+\frac{9}{5}\right)-2\times \frac{0.3x+0.2}{0.3}=x-5$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'0.8x+\frac{9}{5}.

$$1.6x+2\times \frac{9}{5}-2\times \frac{0.3x+0.2}{0.3}=x-5$$

Esprimi 2\times \frac{9}{5} bħala frazzjoni waħda.

$$1.6x+\frac{2\times 9}{5}-2\times \frac{0.3x+0.2}{0.3}=x-5$$

Immultiplika 2 u 9 biex tikseb 18.

$$1.6x+\frac{18}{5}-2\times \frac{0.3x+0.2}{0.3}=x-5$$

Iddividi kull terminu ta' 0.3x+0.2 b'0.3 biex tikseb\frac{0.3x}{0.3}+\frac{0.2}{0.3}.

$$1.6x+\frac{18}{5}-2\left(\frac{0.3x}{0.3}+\frac{0.2}{0.3}\right)=x-5$$

Annulla 0.3 u 0.3.

$$1.6x+\frac{18}{5}-2\left(x+\frac{0.2}{0.3}\right)=x-5$$

Espandi \frac{0.2}{0.3} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$1.6x+\frac{18}{5}-2\left(x+\frac{2}{3}\right)=x-5$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'x+\frac{2}{3}.

$$1.6x+\frac{18}{5}-2x-2\times \frac{2}{3}=x-5$$

Esprimi -2\times \frac{2}{3} bħala frazzjoni waħda.

$$1.6x+\frac{18}{5}-2x+\frac{-2\times 2}{3}=x-5$$

Immultiplika -2 u 2 biex tikseb -4.

$$1.6x+\frac{18}{5}-2x+\frac{-4}{3}=x-5$$

Frazzjoni \frac{-4}{3} tista' tinkiteb mill-ġdid bħala -\frac{4}{3} bl-estrazzjoni tas-sinjal negattiv.

$$1.6x+\frac{18}{5}-2x-\frac{4}{3}=x-5$$

Ikkombina 1.6x u -2x biex tikseb -0.4x.

$$-0.4x+\frac{18}{5}-\frac{4}{3}=x-5$$

L-inqas multipli komuni ta' 5 u 3 huwa 15. Ikkonverti \frac{18}{5} u \frac{4}{3} fi frazzjonijiet bid-denominatur 15.

$$-0.4x+\frac{54}{15}-\frac{20}{15}=x-5$$

Billi \frac{54}{15} u \frac{20}{15} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-0.4x+\frac{54-20}{15}=x-5$$

Naqqas 20 minn 54 biex tikseb 34.

$$-0.4x+\frac{34}{15}=x-5$$

Naqqas x miż-żewġ naħat.

$$-0.4x+\frac{34}{15}-x=-5$$

Ikkombina -0.4x u -x biex tikseb -1.4x.

$$-1.4x+\frac{34}{15}=-5$$

Naqqas \frac{34}{15} miż-żewġ naħat.

$$-1.4x=-5-\frac{34}{15}$$

Ikkonverti -5 fi frazzjoni -\frac{75}{15}.

$$-1.4x=-\frac{75}{15}-\frac{34}{15}$$

Billi -\frac{75}{15} u \frac{34}{15} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-1.4x=\frac{-75-34}{15}$$

Naqqas 34 minn -75 biex tikseb -109.

$$-1.4x=-\frac{109}{15}$$

Iddividi ż-żewġ naħat b'-1.4.

$$x=\frac{-\frac{109}{15}}{-1.4}$$

Esprimi \frac{-\frac{109}{15}}{-1.4} bħala frazzjoni waħda.

$$x=\frac{-109}{15\left(-1.4\right)}$$

Immultiplika 15 u -1.4 biex tikseb -21.

$$x=\frac{-109}{-21}$$

Frazzjoni \frac{-109}{-21} tista' tiġi ssimplifikata għal \frac{109}{21} bit-tneħħija tas-sinjal negattiv min-numeratur u d-denominatur.

$$x=\frac{109}{21}$$