Solve the equation for the specified variable. Use the distributive property to factor as necessary.
-$9 s+7 p=t p-7$ for $p$

A) $p=\frac{9 s+7}{7}$ or $p=\frac{-9 s-7}{-7}$

B) $\mathrm{p}=\frac{9 \mathrm{~s}+7}{-\mathrm{t}}$ or $\mathrm{p}=\frac{-9 \mathrm{~s}-7}{\mathrm{t}}$

C) $\mathrm{p}=\frac{7-\mathrm{t}}{-9 \mathrm{~s}-7}$ or $\mathrm{p}=\frac{\mathrm{t}-7}{9 \mathrm{~s}+7}$

D) $p=\frac{-9 s-7}{7-t}$ or $p=\frac{9 s+7}{t-7}$

Question

Solve the equation for the specified variable. Use the distributive property to factor as necessary.
-$9 s+7 p=t p-7$ for $p$

A) $p=\frac{9 s+7}{7}$ or $p=\frac{-9 s-7}{-7}$

B) $\mathrm{p}=\frac{9 \mathrm{~s}+7}{-\mathrm{t}}$ or $\mathrm{p}=\frac{-9 \mathrm{~s}-7}{\mathrm{t}}$

C) $\mathrm{p}=\frac{7-\mathrm{t}}{-9 \mathrm{~s}-7}$ or $\mathrm{p}=\frac{\mathrm{t}-7}{9 \mathrm{~s}+7}$

D) $p=\frac{-9 s-7}{7-t}$ or $p=\frac{9 s+7}{t-7}$

Quizplus · Accepted Answer

To solve for $p$, we first isolate $p$ on one side of the equation. Starting with $9s + 7p = tp - 7$, we can rearrange the equation to group terms with $p$ on one side: $7p - tp = -9s - 7$. Factoring out $p$ gives us $p(7 - t) = -9s - 7$. Finally, solving for $p$ gives $p = \frac{-9s - 7}{7 - t}$, which can also be written as $p = \frac{9s + 7}{t - 7}$ due to the properties of division and negative numbers.

Solve the Equation for the Specified Variable 9s+7p=tp−79 s+7 p=t p-79s+7p=tp−7

Solve the Equation for the Specified Variable $9 s+7 p=t p-7$