Datrys {l}{2x+2x+2x=35}{y+y+2x=20}{2z+2z+2z+y=1.7}

$$\left. \begin{array} { l } { 2 x + 2 x + 2 x = 35 } \\ { y + y + 2 x = 20 } \\ { 2 z + 2 z + 2 z + y = 1.7 } \end{array} \right.$$

Datrys ar gyfer x, y, z

$$x = \frac{35}{6} = 5\frac{5}{6} \approx 5.833333333$$

$$y = \frac{25}{6} = 4\frac{1}{6} \approx 4.166666667$$

$$z=-\frac{37}{90}\approx -0.411111111$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Cyfuno 2x a 2x i gael 4x.

$$4x+2x=35$$

Cyfuno 4x a 2x i gael 6x.

$$6x=35$$

Rhannu’r ddwy ochr â 6.

$$x=\frac{35}{6}$$

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

$$y+y+2\times \frac{35}{6}=20$$

Cyfuno y a y i gael 2y.

$$2y+2\times \frac{35}{6}=20$$

Lluosi 2 a \frac{35}{6} i gael \frac{35}{3}.

$$2y+\frac{35}{3}=20$$

Tynnu \frac{35}{3} o'r ddwy ochr.

$$2y=20-\frac{35}{3}$$

Tynnu \frac{35}{3} o 20 i gael \frac{25}{3}.

$$2y=\frac{25}{3}$$

Rhannu’r ddwy ochr â 2.

$$y=\frac{\frac{25}{3}}{2}$$

Mynegwch \frac{\frac{25}{3}}{2} fel ffracsiwn unigol.

$$y=\frac{25}{3\times 2}$$

Lluosi 3 a 2 i gael 6.

$$y=\frac{25}{6}$$

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

$$2z+2z+2z+\frac{25}{6}=1.7$$

Cyfuno 2z a 2z i gael 4z.

$$4z+2z+\frac{25}{6}=1.7$$

Cyfuno 4z a 2z i gael 6z.

$$6z+\frac{25}{6}=1.7$$

Tynnu \frac{25}{6} o'r ddwy ochr.

$$6z=1.7-\frac{25}{6}$$

Tynnu \frac{25}{6} o 1.7 i gael -\frac{37}{15}.

$$6z=-\frac{37}{15}$$

Rhannu’r ddwy ochr â 6.

$$z=\frac{-\frac{37}{15}}{6}$$

Mynegwch \frac{-\frac{37}{15}}{6} fel ffracsiwn unigol.

$$z=\frac{-37}{15\times 6}$$

Lluosi 15 a 6 i gael 90.

$$z=\frac{-37}{90}$$

Gellir ailysgrifennu \frac{-37}{90} fel -\frac{37}{90} drwy echdynnu’r arwydd negatif.

$$z=-\frac{37}{90}$$

Mae’r system wedi’i datrys nawr.

$$x=\frac{35}{6} y=\frac{25}{6} z=-\frac{37}{90}$$