Answer:
[tex]p=-\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{2p+1}{5p+6}=\frac{1}{7}[/tex]
Use cross products,
[tex]7(2p+1)=1(5p+6)[/tex]
Distribute,
[tex]14p + 7 = 5p + 6[/tex]
Inverse operations,
[tex]14p+7=5p+6\\-5p\\\\9p + 7 = 6\\-7\\\\9p = -1\\/9\\\\p = -\frac{1}{9}[/tex]
