Solve.
-$-3 \mathrm{~s}+7 \mathrm{p}=\mathrm{tp}-7$ for $\mathrm{p}$

A) $\mathrm{p}=\frac{7-\mathrm{t}}{3 \mathrm{~s}-7}$ or $\mathrm{p}=\frac{\mathrm{t}-7}{-3 \mathrm{~s}+7}$

B) $\mathrm{p}=\frac{-3 \mathrm{~s}+7}{7}$ or $\mathrm{p}=\frac{3 \mathrm{~s}-7}{-7}$

C) $\mathrm{p}=\frac{-3 \mathrm{~s}+7}{-\mathrm{t}}$ or $\mathrm{p}=\frac{3 \mathrm{~s}-7}{\mathrm{t}}$

D) $p=\frac{3 s-7}{7-t}$ or $p=\frac{-3 s+7}{t-7}$

Question

Solve.
-$-3 \mathrm{~s}+7 \mathrm{p}=\mathrm{tp}-7$ for $\mathrm{p}$

A) $\mathrm{p}=\frac{7-\mathrm{t}}{3 \mathrm{~s}-7}$ or $\mathrm{p}=\frac{\mathrm{t}-7}{-3 \mathrm{~s}+7}$

B) $\mathrm{p}=\frac{-3 \mathrm{~s}+7}{7}$ or $\mathrm{p}=\frac{3 \mathrm{~s}-7}{-7}$

C) $\mathrm{p}=\frac{-3 \mathrm{~s}+7}{-\mathrm{t}}$ or $\mathrm{p}=\frac{3 \mathrm{~s}-7}{\mathrm{t}}$

D) $p=\frac{3 s-7}{7-t}$ or $p=\frac{-3 s+7}{t-7}$

Quizplus · Accepted Answer

Rearrange the equation to isolate p: $-3s + 7p = tp - 7$ becomes $7p - tp = 3s - 7$. Factor out p: $p(7 - t) = 3s - 7$. Solve for p: $p = \frac{3s - 7}{7 - t}$ or $p = \frac{-3s + 7}{t - 7}$.