Datrys {l}{5{(7x-53)}+6=3}{y={(-7x-3)}{(-11+2x)}}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 5 {(7 x - 53)} + 6 = 3 }\\ { y = {(-7 x - 3)} {(-11 + 2 x)} }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Datrys ar gyfer x, y, z

$$z = -\frac{38503}{175} = -220\frac{3}{175} \approx -220.017142857$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Defnyddio’r briodwedd ddosbarthu i luosi 5 â 7x-53.

$$35x-265+6=3$$

Adio -265 a 6 i gael -259.

$$35x-259=3$$

Ychwanegu 259 at y ddwy ochr.

$$35x=3+259$$

Adio 3 a 259 i gael 262.

$$35x=262$$

Rhannu’r ddwy ochr â 35.

$$x=\frac{262}{35}$$

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

$$y=\left(-7\times \frac{262}{35}-3\right)\left(-11+2\times \frac{262}{35}\right)$$

Lluosi -7 a \frac{262}{35} i gael -\frac{262}{5}.

$$y=\left(-\frac{262}{5}-3\right)\left(-11+2\times \frac{262}{35}\right)$$

Tynnu 3 o -\frac{262}{5} i gael -\frac{277}{5}.

$$y=-\frac{277}{5}\left(-11+2\times \frac{262}{35}\right)$$

Lluosi 2 a \frac{262}{35} i gael \frac{524}{35}.

$$y=-\frac{277}{5}\left(-11+\frac{524}{35}\right)$$

Adio -11 a \frac{524}{35} i gael \frac{139}{35}.

$$y=-\frac{277}{5}\times \frac{139}{35}$$

Lluosi -\frac{277}{5} a \frac{139}{35} i gael -\frac{38503}{175}.

$$y=-\frac{38503}{175}$$

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

$$z=-\frac{38503}{175}$$

Mae’r system wedi’i datrys nawr.

$$x=\frac{262}{35} y=-\frac{38503}{175} z=-\frac{38503}{175}$$