Respuesta :

Answer:

[tex]p=\frac{8}{7}[/tex]

Step-by-step explanation:

[tex]\frac{2}{4} = \frac{4}{p} - 3[/tex]

[tex]\frac{1}{2} = \frac{4}{p} - 3[/tex] (simplify)

[tex]\frac{1}{2}+3 = \frac{4}{p} - 3+3[/tex]

[tex]\frac{1}{2}+3 = \frac{4}{p}[/tex] (Add 3 to both sides)

[tex]\frac{7}{2}= \frac{4}{p}[/tex] (simplify)

[tex]\frac{7}{2}p= \frac{4}{p}*p[/tex]

[tex]\frac{7p}{2}=4[/tex] (Multiply both sides by p)

[tex]\frac{7p}{2}*2=4*2[/tex]

[tex]7p=8[/tex] (Multiply both sides by 2)

[tex]\frac{7p}{7}=\frac{8}{7}[/tex]

[tex]p=\frac{8}{7}[/tex] (Divide both sides by 7)