Respuesta :

Answer:

The value of [tex]p[/tex] :

[tex]p = \frac{-8q}{5} + 3[/tex]

Step-by-step explanation:

-Solve for [tex]p[/tex] :

[tex]-15 = -5p + 8q[/tex]

-First, switch the equation:

[tex]-5p + 8q = -15[/tex]

-Subtract both sides by [tex]8q[/tex] to make it in standard form:

[tex]-5p + 8q - 8q = -15 - 8q[/tex]

[tex]-5p = - 8q -15[/tex]

-Divide both sides by [tex]5p[/tex] :

[tex]\frac{-5p}{-5} = \frac{-8q - 15}{-5}[/tex]

[tex]p = \frac{-8q - 15}{-5}[/tex]

-Divide both [tex]-8q[/tex] and [tex]-15[/tex] by [tex]-5[/tex] :

[tex]p = \frac{-8q - 15}{-5}[/tex]

[tex]p = \frac{-8q}{5} + 3[/tex]

-Result:

[tex]p = \frac{-8q}{5} + 3[/tex]