Datrys Q_{1}=600-4P_{A}-0.03M-12P_{A}+15G+6P_{B}+1.5N

$$Q _ { 1 } = 600 - 4 P _ { A } - 0.03 M - 12 P _ { A } + 15 G + 6 P _ { B } + 1.5 N$$

Datrys ar gyfer G

$$G=\frac{M}{500}+\frac{Q_{1}}{15}+\frac{16P_{A}}{15}-\frac{N}{10}-\frac{2P_{B}}{5}-40$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfuno -4P_{A} a -12P_{A} i gael -16P_{A}.

$$Q_{1}=600-16P_{A}-0.03M+15G+6P_{B}+1.5N$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$600-16P_{A}-0.03M+15G+6P_{B}+1.5N=Q_{1}$$

Tynnu 600 o'r ddwy ochr.

$$-16P_{A}-0.03M+15G+6P_{B}+1.5N=Q_{1}-600$$

Ychwanegu 16P_{A} at y ddwy ochr.

$$-0.03M+15G+6P_{B}+1.5N=Q_{1}-600+16P_{A}$$

Ychwanegu 0.03M at y ddwy ochr.

$$15G+6P_{B}+1.5N=Q_{1}-600+16P_{A}+0.03M$$

Tynnu 6P_{B} o'r ddwy ochr.

$$15G+1.5N=Q_{1}-600+16P_{A}+0.03M-6P_{B}$$

Tynnu 1.5N o'r ddwy ochr.

$$15G=Q_{1}-600+16P_{A}+0.03M-6P_{B}-1.5N$$

Mae'r hafaliad yn y ffurf safonol.

$$15G=\frac{3M}{100}-\frac{3N}{2}+Q_{1}+16P_{A}-6P_{B}-600$$

Rhannu’r ddwy ochr â 15.

$$\frac{15G}{15}=\frac{\frac{3M}{100}-\frac{3N}{2}+Q_{1}+16P_{A}-6P_{B}-600}{15}$$

Mae rhannu â 15 yn dad-wneud lluosi â 15.

$$G=\frac{\frac{3M}{100}-\frac{3N}{2}+Q_{1}+16P_{A}-6P_{B}-600}{15}$$

Rhannwch Q_{1}-600+16P_{A}+\frac{3M}{100}-6P_{B}-\frac{3N}{2} â 15.

$$G=\frac{M}{500}+\frac{Q_{1}}{15}+\frac{16P_{A}}{15}-\frac{N}{10}-\frac{2P_{B}}{5}-40$$

Datrys ar gyfer M

$$M=-\frac{100Q_{1}}{3}-\frac{1600P_{A}}{3}+50N+200P_{B}+500G+20000$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfuno -4P_{A} a -12P_{A} i gael -16P_{A}.

$$Q_{1}=600-16P_{A}-0.03M+15G+6P_{B}+1.5N$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$600-16P_{A}-0.03M+15G+6P_{B}+1.5N=Q_{1}$$

Tynnu 600 o'r ddwy ochr.

$$-16P_{A}-0.03M+15G+6P_{B}+1.5N=Q_{1}-600$$

Ychwanegu 16P_{A} at y ddwy ochr.

$$-0.03M+15G+6P_{B}+1.5N=Q_{1}-600+16P_{A}$$

Tynnu 15G o'r ddwy ochr.

$$-0.03M+6P_{B}+1.5N=Q_{1}-600+16P_{A}-15G$$

Tynnu 6P_{B} o'r ddwy ochr.

$$-0.03M+1.5N=Q_{1}-600+16P_{A}-15G-6P_{B}$$

Tynnu 1.5N o'r ddwy ochr.

$$-0.03M=Q_{1}-600+16P_{A}-15G-6P_{B}-1.5N$$

Mae'r hafaliad yn y ffurf safonol.

$$-0.03M=-\frac{3N}{2}+Q_{1}+16P_{A}-6P_{B}-15G-600$$

Rhannu dwy ochr hafaliad â -0.03, sydd yr un peth â lluosi’r ddwy ochr â chilydd y ffracsiwn.

$$\frac{-0.03M}{-0.03}=\frac{-\frac{3N}{2}+Q_{1}+16P_{A}-6P_{B}-15G-600}{-0.03}$$

Mae rhannu â -0.03 yn dad-wneud lluosi â -0.03.

$$M=\frac{-\frac{3N}{2}+Q_{1}+16P_{A}-6P_{B}-15G-600}{-0.03}$$

Rhannwch Q_{1}-600+16P_{A}-15G-6P_{B}-\frac{3N}{2} â -0.03 drwy luosi Q_{1}-600+16P_{A}-15G-6P_{B}-\frac{3N}{2} â chilydd -0.03.

$$M=-\frac{100Q_{1}}{3}-\frac{1600P_{A}}{3}+50N+200P_{B}+500G+20000$$