Datrys {l}{x+2/3{(x-3)}=4/3-5{(x-6/5)}}{y=x-3x-12}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x + \frac{2}{3} {(x - 3)} = \frac{4}{3} - 5 {(x - \frac{6}{5})} }\\ { y = x - 3 x - 12 }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Datrys ar gyfer x, y, z, a, b

$$b = -\frac{74}{5} = -14\frac{4}{5} = -14.8$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Defnyddio’r briodwedd ddosbarthu i luosi \frac{2}{3} â x-3.

$$x+\frac{2}{3}x-2=\frac{4}{3}-5\left(x-\frac{6}{5}\right)$$

Cyfuno x a \frac{2}{3}x i gael \frac{5}{3}x.

$$\frac{5}{3}x-2=\frac{4}{3}-5\left(x-\frac{6}{5}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -5 â x-\frac{6}{5}.

$$\frac{5}{3}x-2=\frac{4}{3}-5x+6$$

Adio \frac{4}{3} a 6 i gael \frac{22}{3}.

$$\frac{5}{3}x-2=\frac{22}{3}-5x$$

Ychwanegu 5x at y ddwy ochr.

$$\frac{5}{3}x-2+5x=\frac{22}{3}$$

Cyfuno \frac{5}{3}x a 5x i gael \frac{20}{3}x.

$$\frac{20}{3}x-2=\frac{22}{3}$$

Ychwanegu 2 at y ddwy ochr.

$$\frac{20}{3}x=\frac{22}{3}+2$$

Adio \frac{22}{3} a 2 i gael \frac{28}{3}.

$$\frac{20}{3}x=\frac{28}{3}$$

Lluoswch y ddwy ochr â \frac{3}{20}, cilyddol \frac{20}{3}.

$$x=\frac{28}{3}\times \frac{3}{20}$$

Lluosi \frac{28}{3} a \frac{3}{20} i gael \frac{7}{5}.

$$x=\frac{7}{5}$$

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

$$y=\frac{7}{5}-3\times \frac{7}{5}-12$$

Lluosi -3 a \frac{7}{5} i gael -\frac{21}{5}.

$$y=\frac{7}{5}-\frac{21}{5}-12$$

Tynnu \frac{21}{5} o \frac{7}{5} i gael -\frac{14}{5}.

$$y=-\frac{14}{5}-12$$

Tynnu 12 o -\frac{14}{5} i gael -\frac{74}{5}.

$$y=-\frac{74}{5}$$

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

$$z=-\frac{74}{5}$$

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

$$a=-\frac{74}{5}$$

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

$$b=-\frac{74}{5}$$

Mae’r system wedi’i datrys nawr.

$$x=\frac{7}{5} y=-\frac{74}{5} z=-\frac{74}{5} a=-\frac{74}{5} b=-\frac{74}{5}$$