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(a)/(c)=(b)/(c)`

On the given equation:

`7p=-63`

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

`7p=-63\Leftrightarrow(7p)/(7)=(-63)/(7)`

Simplify the fraction 7p/7:

`\begin{gathered} (7p)/(7)=p \\ \Rightarrow p=(-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} (-63)/(7)=-9 \\ \therefore p=-9 \end{gathered}`

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