Question

Solve for p in the equation 7p = -63.

Answer 1

Use the following property of equations to solve the given equation.

Let a, b and c be real numbers, such that c is different from 0. Then:

$a=b\Leftrightarrow\frac{a}{c}=\frac{b}{c}$

On the given equation:

$7p=-63$

Divide both sides of the equation by 7 (as the property says):

$7p=-63\Leftrightarrow\frac{7p}{7}=\frac{-63}{7}$

Simplify the fraction 7p/7:

$\begin{gathered} \frac{7p}{7}=p \\ \Rightarrow p=\frac{-63}{7} \end{gathered}$

Divide -63 by 7. Since -63 is negative and 7 is positive, the result should be negative. Additionally, 63/7 = 9, so:

$\begin{gathered} \frac{-63}{7}=-9 \\ \therefore p=-9 \end{gathered}$

Therefore, the solution for the equation 7p=-63 is p=-9.