Datrys 0.2yquad(4)^2(2x-1)/0.01-2.5=0.2-20x/0.2-3.5

$$0.2 y \quad ( 4 ) ^ { 2 } \frac { ( 2 x - 1 ) } { 0.01 } - 2.5 = \frac { 0.2 - 20 x } { 0.2 } - 3.5$$

Datrys ar gyfer x

$$x=\frac{16y}{32y+5}$$

$$y\neq -\frac{5}{32}$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfrifo 4 i bŵer 2 a chael 16.

$$0.2y\times 16\times \frac{2x-1}{0.01}-2.5=\frac{0.2-20x}{0.2}-3.5$$

Lluosi 0.2 a 16 i gael 3.2.

$$3.2y\times \frac{2x-1}{0.01}-2.5=\frac{0.2-20x}{0.2}-3.5$$

Rhannu pob term 2x-1 â 0.01 i gael \frac{2x}{0.01}+\frac{-1}{0.01}.

$$3.2y\left(\frac{2x}{0.01}+\frac{-1}{0.01}\right)-2.5=\frac{0.2-20x}{0.2}-3.5$$

Rhannu 2x â 0.01 i gael 200x.

$$3.2y\left(200x+\frac{-1}{0.01}\right)-2.5=\frac{0.2-20x}{0.2}-3.5$$

Ehangu \frac{-1}{0.01} drwy luosi'r rhifiadur a'r enwadur gyda 100. Mae rhannu unrhyw beth ag un yn rhoi'r rhif hwnnw.

$$3.2y\left(200x-100\right)-2.5=\frac{0.2-20x}{0.2}-3.5$$

Defnyddio’r briodwedd ddosbarthu i luosi 3.2y â 200x-100.

$$640xy-320y-2.5=\frac{0.2-20x}{0.2}-3.5$$

Rhannu pob term 0.2-20x â 0.2 i gael \frac{0.2}{0.2}+\frac{-20x}{0.2}.

$$640xy-320y-2.5=\frac{0.2}{0.2}+\frac{-20x}{0.2}-3.5$$

Rhannu 0.2 â 0.2 i gael 1.

$$640xy-320y-2.5=1+\frac{-20x}{0.2}-3.5$$

Rhannu -20x â 0.2 i gael -100x.

$$640xy-320y-2.5=1-100x-3.5$$

Tynnu 3.5 o 1 i gael -2.5.

$$640xy-320y-2.5=-2.5-100x$$

Ychwanegu 100x at y ddwy ochr.

$$640xy-320y-2.5+100x=-2.5$$

Ychwanegu 320y at y ddwy ochr.

$$640xy-2.5+100x=-2.5+320y$$

Ychwanegu 2.5 at y ddwy ochr.

$$640xy+100x=-2.5+320y+2.5$$

Adio -2.5 a 2.5 i gael 0.

$$640xy+100x=320y$$

Cyfuno pob term sy'n cynnwys x.

$$\left(640y+100\right)x=320y$$

Rhannu’r ddwy ochr â 640y+100.

$$\frac{\left(640y+100\right)x}{640y+100}=\frac{320y}{640y+100}$$

Mae rhannu â 640y+100 yn dad-wneud lluosi â 640y+100.

$$x=\frac{320y}{640y+100}$$

Rhannwch 320y â 640y+100.

$$x=\frac{16y}{32y+5}$$

Datrys ar gyfer y

$$y=-\frac{5x}{16\left(2x-1\right)}$$

$$x\neq \frac{1}{2}$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfrifo 4 i bŵer 2 a chael 16.

$$0.2y\times 16\times \frac{2x-1}{0.01}-2.5=\frac{0.2-20x}{0.2}-3.5$$

Lluosi 0.2 a 16 i gael 3.2.

$$3.2y\times \frac{2x-1}{0.01}-2.5=\frac{0.2-20x}{0.2}-3.5$$

Rhannu pob term 2x-1 â 0.01 i gael \frac{2x}{0.01}+\frac{-1}{0.01}.

$$3.2y\left(\frac{2x}{0.01}+\frac{-1}{0.01}\right)-2.5=\frac{0.2-20x}{0.2}-3.5$$

Rhannu 2x â 0.01 i gael 200x.

$$3.2y\left(200x+\frac{-1}{0.01}\right)-2.5=\frac{0.2-20x}{0.2}-3.5$$

Ehangu \frac{-1}{0.01} drwy luosi'r rhifiadur a'r enwadur gyda 100. Mae rhannu unrhyw beth ag un yn rhoi'r rhif hwnnw.

$$3.2y\left(200x-100\right)-2.5=\frac{0.2-20x}{0.2}-3.5$$

Defnyddio’r briodwedd ddosbarthu i luosi 3.2y â 200x-100.

$$640xy-320y-2.5=\frac{0.2-20x}{0.2}-3.5$$

Rhannu pob term 0.2-20x â 0.2 i gael \frac{0.2}{0.2}+\frac{-20x}{0.2}.

$$640xy-320y-2.5=\frac{0.2}{0.2}+\frac{-20x}{0.2}-3.5$$

Rhannu 0.2 â 0.2 i gael 1.

$$640xy-320y-2.5=1+\frac{-20x}{0.2}-3.5$$

Rhannu -20x â 0.2 i gael -100x.

$$640xy-320y-2.5=1-100x-3.5$$

Tynnu 3.5 o 1 i gael -2.5.

$$640xy-320y-2.5=-2.5-100x$$

Ychwanegu 2.5 at y ddwy ochr.

$$640xy-320y=-2.5-100x+2.5$$

Adio -2.5 a 2.5 i gael 0.

$$640xy-320y=-100x$$

Cyfuno pob term sy'n cynnwys y.

$$\left(640x-320\right)y=-100x$$

Rhannu’r ddwy ochr â 640x-320.

$$\frac{\left(640x-320\right)y}{640x-320}=-\frac{100x}{640x-320}$$

Mae rhannu â 640x-320 yn dad-wneud lluosi â 640x-320.

$$y=-\frac{100x}{640x-320}$$

Rhannwch -100x â 640x-320.

$$y=-\frac{5x}{16\left(2x-1\right)}$$