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Help please
[tex] \frac{2p + 1}{5p + 6 } = \frac{1}{7} [/tex]
Please and thanks​


Sagot :

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]