Solve for the indicated variable.
-$S = \alpha \left( T - T _ { 0 } \right) + S _ { 0 } \quad$ for $T$
A) $T = \alpha \left( S - S _ { 0 } \right) + T _ { 0 }$
B) $T = \frac { 1 } { \alpha } \left( S - S _ { 0 } \right) + T _ { 0 }$
C) $T = \frac { 1 } { \alpha } \left( S - S _ { 0 } + T _ { 0 } \right)$
D) $T = \frac { S } { \alpha } - S _ { 0 } + T _ { 0 }$

Question

Quizplus · Accepted Answer

To solve for $T$, first subtract $S_0$ from both sides to get $S - S_0 = \alpha(T - T_0)$. Then, divide both sides by $\alpha$ to isolate $T - T_0$, resulting in $T - T_0 = \frac{1}{\alpha}(S - S_0)$. Finally, add $T_0$ to both sides to solve for $T$, yielding $T = \frac{1}{\alpha}(S - S_0) + T_0$.

Solve for the Indicated Variable S=α(T−T0)+S0S = \alpha \left( T - T _ { 0 } \right) + S _ { 0 } \quadS=α(T−T0​)+S0​

Solve for the Indicated Variable $S = \alpha \left( T - T _ { 0 } \right) + S _ { 0 } \quad$