A voltage divider is a simple circuit that converts larger voltage into a smaller one. The figure above shows a voltage divider that consists of two resistors that together have a total resistance of $300 \Omega$ . To produce the desired voltage of $350\;volts, R_2$ must be $4 \Omega$ less than thrice $R_1$ solving which of the following system of equation gives the individual resistance for $R_1$ and $R_2$?

Question

$(a) R_2 =2R_1-4,R_1+R_2=300\\ (b)\; R_2 =4-3R_1,R_1+R_2=300 \\ (c)\;\ R_2 =4-2R_1,R_1+R_2=300 \\ (d)\; R_2 =3R_1-4,R_1+R_2=300$