Suppose . What is the value of…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Suppose

\dfrac{7x-9}{(x+3)(x-4)}=\dfrac{A}{x+3}+\dfrac{B}{x-4}

. What is the value of

A

? (a)

\dfrac{19}{7}

(b)

\dfrac{30}{7}

(c)

-\dfrac{19}{7}

(d)

-\dfrac{30}{7}