Datrys {l}{z_{1}+frac{v_{1}*v_{2}}{2}=z_{2}+frac{v_{2}}{2}}{v_{1}=3}{z_{1}=5}{z_{2}=10}

$$\left. \begin{array} { l } { z _ { 1 } + \frac { v _ { 1 } \cdot v _ { 2 } } { 2 } = z _ { 2 } + \frac { v _ { 2 } } { 2 } } \\ { v _ { 1 } = 3 } \\ { z _ { 1 } = 5 } \\ { z _ { 2 } = 10 } \end{array} \right.$$

Datrys ar gyfer z_1, v_1, v_2, z_2

$$z_{1}=5$$

$$v_{1}=3$$

$$v_{2}=5$$

$$z_{2}=10$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$5+\frac{3v_{2}}{2}=10+\frac{v_{2}}{2}$$

Lluoswch ddwy ochr yr hafaliad â 2.

$$10+3v_{2}=20+v_{2}$$

Tynnu v_{2} o'r ddwy ochr.

$$10+3v_{2}-v_{2}=20$$

Cyfuno 3v_{2} a -v_{2} i gael 2v_{2}.

$$10+2v_{2}=20$$

Tynnu 10 o'r ddwy ochr.

$$2v_{2}=20-10$$

Tynnu 10 o 20 i gael 10.

$$2v_{2}=10$$

Rhannu’r ddwy ochr â 2.

$$v_{2}=\frac{10}{2}$$

Rhannu 10 â 2 i gael 5.

$$v_{2}=5$$

Mae’r system wedi’i datrys nawr.

$$z_{1}=5 v_{1}=3 v_{2}=5 z_{2}=10$$