Datrys {l}{text{youca.}}{2x_{1}-3x_{2}-x_{3}+6=0}{3x_{1}+4x_{2}+3x_{3}+5=0}{x_{1}+x_{2}+x_{3}+2=0}

$$\left. \begin{array} { l } { \text { youca. } } \\ { 2 x _ { 1 } - 3 x _ { 2 } - x _ { 3 } + 6 = 0 } \\ { 3 x _ { 1 } + 4 x _ { 2 } + 3 x _ { 3 } + 5 = 0 } \\ { x _ { 1 } + x _ { 2 } + x _ { 3 } + 2 = 0 } \end{array} \right.$$

Datrys ar gyfer x_2, x_3, x_1

$$x_{2}=1$$

$$x_{3}=3$$

$$x_{1}=-6$$

Camau Byr wrth Ddefnyddio Amnewid

Datrys -3x_{2}-x_{3}+6=0 ar gyfer x_{3}.

$$x_{3}=-3x_{2}+6$$

Amnewid -3x_{2}+6 am x_{3} yn yr ail a'r trydydd hafaliad.

$$3x_{1}+4x_{2}+3\left(-3x_{2}+6\right)+5=0 x_{1}+x_{2}-3x_{2}+6+2=0$$

Datrys yr hafaliadau hyn ar gyfer x_{2} a x_{1} yn eu tro.

$$x_{2}=\frac{3}{5}x_{1}+\frac{23}{5} x_{1}=-8+2x_{2}$$

Amnewid \frac{3}{5}x_{1}+\frac{23}{5} am x_{2} yn yr hafaliad x_{1}=-8+2x_{2}.

$$x_{1}=-8+2\left(\frac{3}{5}x_{1}+\frac{23}{5}\right)$$

Datrys x_{1}=-8+2\left(\frac{3}{5}x_{1}+\frac{23}{5}\right) ar gyfer x_{1}.

$$x_{1}=-6$$

Amnewid -6 am x_{1} yn yr hafaliad x_{2}=\frac{3}{5}x_{1}+\frac{23}{5}.

$$x_{2}=\frac{3}{5}\left(-6\right)+\frac{23}{5}$$

Cyfrifo x_{2} o x_{2}=\frac{3}{5}\left(-6\right)+\frac{23}{5}.

$$x_{2}=1$$

Amnewid 1 am x_{2} yn yr hafaliad x_{3}=-3x_{2}+6.

$$x_{3}=-3+6$$

Cyfrifo x_{3} o x_{3}=-3+6.

$$x_{3}=3$$

Mae’r system wedi’i datrys nawr.

$$x_{2}=1 x_{3}=3 x_{1}=-6$$