Datrys {l}{2*{(frac{3*{(2)}+1}{2})}={(frac{1*{(2)}+1}{2})}x-1}{y=x+2}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 2 \cdot {(\frac{3 \cdot {(2)} + 1}{2})} = {(\frac{1 \cdot {(2)} + 1}{2})} x - 1 }\\ { y = x + 2 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Datrys ar gyfer x, y, z

$$z = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Lluoswch ddwy ochr yr hafaliad â 2.

$$2\left(3\times 2+1\right)=\left(1\times 2+1\right)x-2$$

Lluosi 3 a 2 i gael 6.

$$2\left(6+1\right)=\left(1\times 2+1\right)x-2$$

Adio 6 a 1 i gael 7.

$$2\times 7=\left(1\times 2+1\right)x-2$$

Lluosi 2 a 7 i gael 14.

$$14=\left(1\times 2+1\right)x-2$$

Lluosi 1 a 2 i gael 2.

$$14=\left(2+1\right)x-2$$

Adio 2 a 1 i gael 3.

$$14=3x-2$$

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

$$3x-2=14$$

Ychwanegu 2 at y ddwy ochr.

$$3x=14+2$$

Adio 14 a 2 i gael 16.

$$3x=16$$

Rhannu’r ddwy ochr â 3.

$$x=\frac{16}{3}$$

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

$$y=\frac{16}{3}+2$$

Adio \frac{16}{3} a 2 i gael \frac{22}{3}.

$$y=\frac{22}{3}$$

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

$$z=\frac{22}{3}$$

Mae’r system wedi’i datrys nawr.

$$x=\frac{16}{3} y=\frac{22}{3} z=\frac{22}{3}$$