Datrys {l}{-15x-6x={(-x+3)}-{(x+2)}+10}{y=9x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { -15 x - 6 x = {(-x + 3)} - {(x + 2)} + 10 }\\ { y = 9 x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Datrys ar gyfer x, y, z

$$z = -\frac{99}{19} = -5\frac{4}{19} \approx -5.210526316$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Cyfuno -15x a -6x i gael -21x.

$$-21x=-x+3-\left(x+2\right)+10$$

I ddod o hyd i wrthwyneb x+2, dewch o hyd i wrthwyneb pob term.

$$-21x=-x+3-x-2+10$$

Tynnu 2 o 3 i gael 1.

$$-21x=-x+1-x+10$$

Adio 1 a 10 i gael 11.

$$-21x=-x+11-x$$

Ychwanegu x at y ddwy ochr.

$$-21x+x=11-x$$

Cyfuno -21x a x i gael -20x.

$$-20x=11-x$$

Ychwanegu x at y ddwy ochr.

$$-20x+x=11$$

Cyfuno -20x a x i gael -19x.

$$-19x=11$$

Rhannu’r ddwy ochr â -19.

$$x=-\frac{11}{19}$$

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

$$y=9\left(-\frac{11}{19}\right)$$

Lluosi 9 a -\frac{11}{19} i gael -\frac{99}{19}.

$$y=-\frac{99}{19}$$

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

$$z=-\frac{99}{19}$$

Mae’r system wedi’i datrys nawr.

$$x=-\frac{11}{19} y=-\frac{99}{19} z=-\frac{99}{19}$$