Datrys {l}{2{(0*251*4*472.578+0.7486y)}=321.487}{y=0.1449x+0.2739*472.578+0.5812y}{z=x-0}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 2 {(0 \cdot 251 \cdot 4 \cdot 472.578 + 0.7486 y)} = 321.487 }\\ { y = 0.1449 x + 0.2739 \cdot 472.578 + 0.5812 y }\\ { z = x - 0 }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

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

$$c = -\frac{35212789393}{129133500} = -272\frac{88477393}{129133500} \approx -272.6851622$$

Camau Ateb

Ystyriwch yr hafaliad cyntaf. Rhannu’r ddwy ochr â 2.

$$0\times 251\times 4\times 472.578+0.7486y=\frac{321.487}{2}$$

Ehangu \frac{321.487}{2} drwy luosi'r rhifiadur a'r enwadur gyda 1000.

$$0\times 251\times 4\times 472.578+0.7486y=\frac{321487}{2000}$$

Lluosi 0 a 251 i gael 0.

$$0\times 4\times 472.578+0.7486y=\frac{321487}{2000}$$

Lluosi 0 a 4 i gael 0.

$$0\times 472.578+0.7486y=\frac{321487}{2000}$$

Lluosi 0 a 472.578 i gael 0.

$$0+0.7486y=\frac{321487}{2000}$$

Mae adio unrhyw beth at sero yn cyrraedd ei swm ei hun.

$$0.7486y=\frac{321487}{2000}$$

Rhannu’r ddwy ochr â 0.7486.

$$y=\frac{\frac{321487}{2000}}{0.7486}$$

Mynegwch \frac{\frac{321487}{2000}}{0.7486} fel ffracsiwn unigol.

$$y=\frac{321487}{2000\times 0.7486}$$

Lluosi 2000 a 0.7486 i gael 1497.2.

$$y=\frac{321487}{1497.2}$$

Ehangu \frac{321487}{1497.2} drwy luosi'r rhifiadur a'r enwadur gyda 10.

$$y=\frac{3214870}{14972}$$

Lleihau'r ffracsiwn \frac{3214870}{14972} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$y=\frac{1607435}{7486}$$

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

$$\frac{1607435}{7486}=0.1449x+0.2739\times 472.578+0.5812\times \frac{1607435}{7486}$$

Lluosi 0.2739 a 472.578 i gael 129.4391142.

$$\frac{1607435}{7486}=0.1449x+129.4391142+0.5812\times \frac{1607435}{7486}$$

Lluosi 0.5812 a \frac{1607435}{7486} i gael \frac{467120611}{3743000}.

$$\frac{1607435}{7486}=0.1449x+129.4391142+\frac{467120611}{3743000}$$

Adio 129.4391142 a \frac{467120611}{3743000} i gael \frac{4758056077253}{18715000000}.

$$\frac{1607435}{7486}=0.1449x+\frac{4758056077253}{18715000000}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$0.1449x+\frac{4758056077253}{18715000000}=\frac{1607435}{7486}$$

Tynnu \frac{4758056077253}{18715000000} o'r ddwy ochr.

$$0.1449x=\frac{1607435}{7486}-\frac{4758056077253}{18715000000}$$

Tynnu \frac{4758056077253}{18715000000} o \frac{1607435}{7486} i gael -\frac{739468577253}{18715000000}.

$$0.1449x=-\frac{739468577253}{18715000000}$$

Rhannu’r ddwy ochr â 0.1449.

$$x=\frac{-\frac{739468577253}{18715000000}}{0.1449}$$

Mynegwch \frac{-\frac{739468577253}{18715000000}}{0.1449} fel ffracsiwn unigol.

$$x=\frac{-739468577253}{18715000000\times 0.1449}$$

Lluosi 18715000000 a 0.1449 i gael 2711803500.

$$x=\frac{-739468577253}{2711803500}$$

Lleihau'r ffracsiwn \frac{-739468577253}{2711803500} i'r graddau lleiaf posib drwy dynnu a chanslo allan 21.

$$x=-\frac{35212789393}{129133500}$$

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

$$z=-\frac{35212789393}{129133500}-0$$

Tynnu 0 o -\frac{35212789393}{129133500} i gael -\frac{35212789393}{129133500}.

$$z=-\frac{35212789393}{129133500}$$

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

$$a=-\frac{35212789393}{129133500}$$

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

$$b=-\frac{35212789393}{129133500}$$

Ystyriwch yr hafaliad (6). Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$c=-\frac{35212789393}{129133500}$$

Mae’r system wedi’i datrys nawr.

$$y=\frac{1607435}{7486} x=-\frac{35212789393}{129133500} z=-\frac{35212789393}{129133500} a=-\frac{35212789393}{129133500} b=-\frac{35212789393}{129133500} c=-\frac{35212789393}{129133500}$$