सोडोवचें 16.1V=18.8v*frac{R_{1}}{R_{1}+21Omega}

$$16.1 V = 18.8 v \cdot \frac { R _ { 1 } } { R _ { 1 } + 21 \Omega }$$

V खातीर सोडोवचें

$$V=\frac{94R_{1}v}{5\times \frac{161R_{1}+3381\Omega }{10}}$$

$$R_{1}\neq -21\Omega$$

लिनियर समिकरण सोडोवंक पांवडे

R_{1}+21\Omega वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.

$$16.1V\left(R_{1}+21\Omega \right)=18.8vR_{1}$$

R_{1}+21\Omega न 16.1V गुणपाक विभाजक विशमाचो वापर करचो.

$$16.1VR_{1}+338.1\Omega V=18.8vR_{1}$$

V आसपी सगळ्यो संज्ञा एकठांय करच्यो.

$$\left(16.1R_{1}+338.1\Omega \right)V=18.8vR_{1}$$

समिकरण प्रमाणिक स्वरूपांत आसा.

$$\frac{161R_{1}+3381\Omega }{10}V=\frac{94R_{1}v}{5}$$

दोनुय कुशींक 16.1R_{1}+338.1\Omega न भाग लावचो.

$$\frac{10\times \frac{161R_{1}+3381\Omega }{10}V}{161R_{1}+3381\Omega }=\frac{94R_{1}v}{5\times \frac{161R_{1}+3381\Omega }{10}}$$

16.1R_{1}+338.1\Omega वरवीं भागाकार केल्यार 16.1R_{1}+338.1\Omega वरवीं केल्लो गुणाकार काडटा.

$$V=\frac{94R_{1}v}{5\times \frac{161R_{1}+3381\Omega }{10}}$$

R_1 खातीर सोडोवचें (जटील सोल्यूशन)

$$\left\{\begin{matrix}\\R_{1}\neq 0\text{, }&\text{unconditionally}\\R_{1}=\frac{3381V\Omega }{188v-161V}\text{, }&\Omega \neq 0\text{ and }\left(V=0\text{ or }V\neq \frac{188v}{161}\right)\text{ and }v\neq 0\\R_{1}\neq -21\Omega \text{, }&V=0\text{ and }v=0\end{matrix}\right.$$

R_1 खातीर सोडोवचें

$$\left\{\begin{matrix}\\R_{1}\neq 0\text{, }&\text{unconditionally}\\R_{1}=\frac{3381V\Omega }{188v-161V}\text{, }&\Omega \neq 0\text{ and }v\neq 0\text{ and }V\neq \frac{188v}{161}\\R_{1}\neq -21\Omega \text{, }&V=0\text{ and }v=0\end{matrix}\right.$$