Issolvi 2r+2pirθ/36q=50

$$2 r + \frac { 2 \pi r \theta } { 36 q } = 50$$

Solvi għal q

$$\left\{\begin{matrix}q=-\frac{\pi r\theta }{36\left(r-25\right)}\text{, }&\theta \neq 0\text{ and }r\neq 0\text{ and }r\neq 25\\q\neq 0\text{, }&r=25\text{ and }\theta =0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli q ma jistax ikun ugwali għal 0 billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'36q.

$$2r\times 36q+2\pi r\theta =1800q$$

Immultiplika 2 u 36 biex tikseb 72.

$$72rq+2\pi r\theta =1800q$$

Naqqas 1800q miż-żewġ naħat.

$$72rq+2\pi r\theta -1800q=0$$

Naqqas 2\pi r\theta miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$72rq-1800q=-2\pi r\theta$$

Ikkombina t-termini kollha li fihom q.

$$\left(72r-1800\right)q=-2\pi r\theta$$

Iddividi ż-żewġ naħat b'72r-1800.

$$\frac{\left(72r-1800\right)q}{72r-1800}=-\frac{2\pi r\theta }{72r-1800}$$

Meta tiddividi b'72r-1800 titneħħa l-multiplikazzjoni b'72r-1800.

$$q=-\frac{2\pi r\theta }{72r-1800}$$

Iddividi -2\pi r\theta b'72r-1800.

$$q=-\frac{\pi r\theta }{36\left(r-25\right)}$$

Il-varjabbi q ma jistax ikun ugwali għal 0.

$$q=-\frac{\pi r\theta }{36\left(r-25\right)}\text{, }q\neq 0$$

Solvi għal r

$$r=\frac{900q}{36q+\pi \theta }$$

$$\theta \neq -\frac{36q}{\pi }\text{ and }q\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'36q.

$$2r\times 36q+2\pi r\theta =1800q$$

Immultiplika 2 u 36 biex tikseb 72.

$$72rq+2\pi r\theta =1800q$$

Ikkombina t-termini kollha li fihom r.

$$\left(72q+2\pi \theta \right)r=1800q$$

Iddividi ż-żewġ naħat b'72q+2\pi \theta .

$$\frac{\left(72q+2\pi \theta \right)r}{72q+2\pi \theta }=\frac{1800q}{72q+2\pi \theta }$$

Meta tiddividi b'72q+2\pi \theta titneħħa l-multiplikazzjoni b'72q+2\pi \theta .

$$r=\frac{1800q}{72q+2\pi \theta }$$

Iddividi 1800q b'72q+2\pi \theta .

$$r=\frac{900q}{36q+\pi \theta }$$