Datrys 7x-1/0.024=1-0.2x/0.018-5x+1/0.012

$$\frac { 7 x - 1 } { 0.024 } = \frac { 1 - 0.2 x } { 0.018 } - \frac { 5 x + 1 } { 0.012 }$$

Datrys ar gyfer x

$$x=\frac{5}{259}\approx 0.019305019$$

Camau ar gyfer Datrys Hafaliad Llinol

Rhannu pob term 7x-1 â 0.024 i gael \frac{7x}{0.024}+\frac{-1}{0.024}.

$$\frac{7x}{0.024}+\frac{-1}{0.024}=\frac{1-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Rhannu 7x â 0.024 i gael \frac{875}{3}x.

$$\frac{875}{3}x+\frac{-1}{0.024}=\frac{1-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Ehangu \frac{-1}{0.024} drwy luosi'r rhifiadur a'r enwadur gyda 1000.

$$\frac{875}{3}x+\frac{-1000}{24}=\frac{1-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Lleihau'r ffracsiwn \frac{-1000}{24} i'r graddau lleiaf posib drwy dynnu a chanslo allan 8.

$$\frac{875}{3}x-\frac{125}{3}=\frac{1-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Rhannu pob term 1-0.2x â 0.018 i gael \frac{1}{0.018}+\frac{-0.2x}{0.018}.

$$\frac{875}{3}x-\frac{125}{3}=\frac{1}{0.018}+\frac{-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Ehangu \frac{1}{0.018} drwy luosi'r rhifiadur a'r enwadur gyda 1000.

$$\frac{875}{3}x-\frac{125}{3}=\frac{1000}{18}+\frac{-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Lleihau'r ffracsiwn \frac{1000}{18} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}+\frac{-0.2x}{0.018}-\frac{5x+1}{0.012}$$

Rhannu -0.2x â 0.018 i gael -\frac{100}{9}x.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\frac{5x+1}{0.012}$$

Rhannu pob term 5x+1 â 0.012 i gael \frac{5x}{0.012}+\frac{1}{0.012}.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\left(\frac{5x}{0.012}+\frac{1}{0.012}\right)$$

Rhannu 5x â 0.012 i gael \frac{1250}{3}x.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\left(\frac{1250}{3}x+\frac{1}{0.012}\right)$$

Ehangu \frac{1}{0.012} drwy luosi'r rhifiadur a'r enwadur gyda 1000.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\left(\frac{1250}{3}x+\frac{1000}{12}\right)$$

Lleihau'r ffracsiwn \frac{1000}{12} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\left(\frac{1250}{3}x+\frac{250}{3}\right)$$

I ddod o hyd i wrthwyneb \frac{1250}{3}x+\frac{250}{3}, dewch o hyd i wrthwyneb pob term.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{100}{9}x-\frac{1250}{3}x-\frac{250}{3}$$

Cyfuno -\frac{100}{9}x a -\frac{1250}{3}x i gael -\frac{3850}{9}x.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{3850}{9}x-\frac{250}{3}$$

Lluosrif lleiaf cyffredin 9 a 3 yw 9. Troswch \frac{500}{9} a \frac{250}{3} yn ffracsiynau gyda’r enwadur 9.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500}{9}-\frac{3850}{9}x-\frac{750}{9}$$

Gan fod gan \frac{500}{9} a \frac{750}{9} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{875}{3}x-\frac{125}{3}=\frac{500-750}{9}-\frac{3850}{9}x$$

Tynnu 750 o 500 i gael -250.

$$\frac{875}{3}x-\frac{125}{3}=-\frac{250}{9}-\frac{3850}{9}x$$

Ychwanegu \frac{3850}{9}x at y ddwy ochr.

$$\frac{875}{3}x-\frac{125}{3}+\frac{3850}{9}x=-\frac{250}{9}$$

Cyfuno \frac{875}{3}x a \frac{3850}{9}x i gael \frac{6475}{9}x.

$$\frac{6475}{9}x-\frac{125}{3}=-\frac{250}{9}$$

Ychwanegu \frac{125}{3} at y ddwy ochr.

$$\frac{6475}{9}x=-\frac{250}{9}+\frac{125}{3}$$

Lluosrif lleiaf cyffredin 9 a 3 yw 9. Troswch -\frac{250}{9} a \frac{125}{3} yn ffracsiynau gyda’r enwadur 9.

$$\frac{6475}{9}x=-\frac{250}{9}+\frac{375}{9}$$

Gan fod gan -\frac{250}{9} a \frac{375}{9} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{6475}{9}x=\frac{-250+375}{9}$$

Adio -250 a 375 i gael 125.

$$\frac{6475}{9}x=\frac{125}{9}$$

Rhannu’r ddwy ochr â \frac{6475}{9}.

$$x=\frac{\frac{125}{9}}{\frac{6475}{9}}$$

Mynegwch \frac{\frac{125}{9}}{\frac{6475}{9}} fel ffracsiwn unigol.

$$x=\frac{125}{9\times \frac{6475}{9}}$$

Lluosi 9 a \frac{6475}{9} i gael 6475.

$$x=\frac{125}{6475}$$

Lleihau'r ffracsiwn \frac{125}{6475} i'r graddau lleiaf posib drwy dynnu a chanslo allan 25.

$$x=\frac{5}{259}$$