Datrys 0.4x+0.9/0.5-0.1x-0.5/0.2=0.03+0.02x/0.03

$$\frac { 0.4 x + 0.9 } { 0.5 } - \frac { 0.1 x - 0.5 } { 0.2 } = \frac { 0.03 + 0.02 x } { 0.03 }$$

Datrys ar gyfer x

$$x=9$$

Camau ar gyfer Datrys Hafaliad Llinol

Rhannu pob term 0.4x+0.9 â 0.5 i gael \frac{0.4x}{0.5}+\frac{0.9}{0.5}.

$$\frac{0.4x}{0.5}+\frac{0.9}{0.5}-\frac{0.1x-0.5}{0.2}=\frac{0.03+0.02x}{0.03}$$

Rhannu 0.4x â 0.5 i gael 0.8x.

$$0.8x+\frac{0.9}{0.5}-\frac{0.1x-0.5}{0.2}=\frac{0.03+0.02x}{0.03}$$

Ehangu \frac{0.9}{0.5} drwy luosi'r rhifiadur a'r enwadur gyda 10.

$$0.8x+\frac{9}{5}-\frac{0.1x-0.5}{0.2}=\frac{0.03+0.02x}{0.03}$$

Rhannu pob term 0.1x-0.5 â 0.2 i gael \frac{0.1x}{0.2}+\frac{-0.5}{0.2}.

$$0.8x+\frac{9}{5}-\left(\frac{0.1x}{0.2}+\frac{-0.5}{0.2}\right)=\frac{0.03+0.02x}{0.03}$$

Rhannu 0.1x â 0.2 i gael 0.5x.

$$0.8x+\frac{9}{5}-\left(0.5x+\frac{-0.5}{0.2}\right)=\frac{0.03+0.02x}{0.03}$$

Ehangu \frac{-0.5}{0.2} drwy luosi'r rhifiadur a'r enwadur gyda 10.

$$0.8x+\frac{9}{5}-\left(0.5x+\frac{-5}{2}\right)=\frac{0.03+0.02x}{0.03}$$

Gellir ailysgrifennu \frac{-5}{2} fel -\frac{5}{2} drwy echdynnu’r arwydd negatif.

$$0.8x+\frac{9}{5}-\left(0.5x-\frac{5}{2}\right)=\frac{0.03+0.02x}{0.03}$$

I ddod o hyd i wrthwyneb 0.5x-\frac{5}{2}, dewch o hyd i wrthwyneb pob term.

$$0.8x+\frac{9}{5}-0.5x-\left(-\frac{5}{2}\right)=\frac{0.03+0.02x}{0.03}$$

Gwrthwyneb -\frac{5}{2} yw \frac{5}{2}.

$$0.8x+\frac{9}{5}-0.5x+\frac{5}{2}=\frac{0.03+0.02x}{0.03}$$

Cyfuno 0.8x a -0.5x i gael 0.3x.

$$0.3x+\frac{9}{5}+\frac{5}{2}=\frac{0.03+0.02x}{0.03}$$

Lluosrif lleiaf cyffredin 5 a 2 yw 10. Troswch \frac{9}{5} a \frac{5}{2} yn ffracsiynau gyda’r enwadur 10.

$$0.3x+\frac{18}{10}+\frac{25}{10}=\frac{0.03+0.02x}{0.03}$$

Gan fod gan \frac{18}{10} a \frac{25}{10} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$0.3x+\frac{18+25}{10}=\frac{0.03+0.02x}{0.03}$$

Adio 18 a 25 i gael 43.

$$0.3x+\frac{43}{10}=\frac{0.03+0.02x}{0.03}$$

Rhannu pob term 0.03+0.02x â 0.03 i gael \frac{0.03}{0.03}+\frac{0.02x}{0.03}.

$$0.3x+\frac{43}{10}=\frac{0.03}{0.03}+\frac{0.02x}{0.03}$$

Rhannu 0.03 â 0.03 i gael 1.

$$0.3x+\frac{43}{10}=1+\frac{0.02x}{0.03}$$

Rhannu 0.02x â 0.03 i gael \frac{2}{3}x.

$$0.3x+\frac{43}{10}=1+\frac{2}{3}x$$

Tynnu \frac{2}{3}x o'r ddwy ochr.

$$0.3x+\frac{43}{10}-\frac{2}{3}x=1$$

Cyfuno 0.3x a -\frac{2}{3}x i gael -\frac{11}{30}x.

$$-\frac{11}{30}x+\frac{43}{10}=1$$

Tynnu \frac{43}{10} o'r ddwy ochr.

$$-\frac{11}{30}x=1-\frac{43}{10}$$

Troswch y rhif degol 1 i’r ffracsiwn \frac{10}{10}.

$$-\frac{11}{30}x=\frac{10}{10}-\frac{43}{10}$$

Gan fod gan \frac{10}{10} a \frac{43}{10} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$-\frac{11}{30}x=\frac{10-43}{10}$$

Tynnu 43 o 10 i gael -33.

$$-\frac{11}{30}x=-\frac{33}{10}$$

Rhannu’r ddwy ochr â -\frac{11}{30}.

$$x=\frac{-\frac{33}{10}}{-\frac{11}{30}}$$

Mynegwch \frac{-\frac{33}{10}}{-\frac{11}{30}} fel ffracsiwn unigol.

$$x=\frac{-33}{10\left(-\frac{11}{30}\right)}$$

Lluosi 10 a -\frac{11}{30} i gael -\frac{11}{3}.

$$x=\frac{-33}{-\frac{11}{3}}$$