Datrys 0.4y+0.9/0.5-0.3+0.2y/0.3=1

$$\frac { 0.4 y + 0.9 } { 0.5 } - \frac { 0.3 + 0.2 y } { 0.3 } = 1$$

Datrys ar gyfer y

$$y=1.5$$

Camau ar gyfer Datrys Hafaliad Llinol

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

$$\frac{0.4y}{0.5}+\frac{0.9}{0.5}-\frac{0.3+0.2y}{0.3}=1$$

Rhannu 0.4y â 0.5 i gael 0.8y.

$$0.8y+\frac{0.9}{0.5}-\frac{0.3+0.2y}{0.3}=1$$

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

$$0.8y+\frac{9}{5}-\frac{0.3+0.2y}{0.3}=1$$

Rhannu pob term 0.3+0.2y â 0.3 i gael \frac{0.3}{0.3}+\frac{0.2y}{0.3}.

$$0.8y+\frac{9}{5}-\left(\frac{0.3}{0.3}+\frac{0.2y}{0.3}\right)=1$$

Rhannu 0.3 â 0.3 i gael 1.

$$0.8y+\frac{9}{5}-\left(1+\frac{0.2y}{0.3}\right)=1$$

Rhannu 0.2y â 0.3 i gael \frac{2}{3}y.

$$0.8y+\frac{9}{5}-\left(1+\frac{2}{3}y\right)=1$$

I ddod o hyd i wrthwyneb 1+\frac{2}{3}y, dewch o hyd i wrthwyneb pob term.

$$0.8y+\frac{9}{5}-1-\frac{2}{3}y=1$$

Troswch y rhif degol 1 i’r ffracsiwn \frac{5}{5}.

$$0.8y+\frac{9}{5}-\frac{5}{5}-\frac{2}{3}y=1$$

Gan fod gan \frac{9}{5} a \frac{5}{5} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$0.8y+\frac{9-5}{5}-\frac{2}{3}y=1$$

Tynnu 5 o 9 i gael 4.

$$0.8y+\frac{4}{5}-\frac{2}{3}y=1$$

Cyfuno 0.8y a -\frac{2}{3}y i gael \frac{2}{15}y.

$$\frac{2}{15}y+\frac{4}{5}=1$$

Tynnu \frac{4}{5} o'r ddwy ochr.

$$\frac{2}{15}y=1-\frac{4}{5}$$

Troswch y rhif degol 1 i’r ffracsiwn \frac{5}{5}.

$$\frac{2}{15}y=\frac{5}{5}-\frac{4}{5}$$

Gan fod gan \frac{5}{5} a \frac{4}{5} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{2}{15}y=\frac{5-4}{5}$$

Tynnu 4 o 5 i gael 1.

$$\frac{2}{15}y=\frac{1}{5}$$

Rhannu’r ddwy ochr â \frac{2}{15}.

$$y=\frac{\frac{1}{5}}{\frac{2}{15}}$$

Mynegwch \frac{\frac{1}{5}}{\frac{2}{15}} fel ffracsiwn unigol.

$$y=\frac{1}{5\times \frac{2}{15}}$$

Lluosi 5 a \frac{2}{15} i gael \frac{2}{3}.

$$y=\frac{1}{\frac{2}{3}}$$