Question

IF p/q=-2/3 then the value of 2p+q/2p-q is:

Answer 1

p=-2 q=3 then 2p+q=2×-2+3=-1,2p-q=-4-3=-7 then -1/-7=1/7 is the answer

Answer 2

$\frac{2p+q}{2p-q}=\frac{1}{7}$

Step-by-step explanation:

Given : Number $\frac{p}{q}=-\frac{2}{3}$

To find : The value of expression $\frac{2p+q}{2p-q}$ ?

Solution :

Expression $\frac{2p+q}{2p-q}$

Divide numerator and denominator by q,

$=\dfrac{\frac{2p+q}{q}}{\frac{2p-q}{q}}$

$=\dfrac{2\frac{p}{q}+1}{2\frac{p}{q}-1}$

Substitute the value $\frac{p}{q}=-\frac{2}{3}$,

$=\dfrac{2(-\frac{2}{3})+1}{2(-\frac{2}{3})-1}$

$=\dfrac{-\frac{4}{3}+1}{-\frac{4}{3}-1}$

$=\dfrac{\frac{-4+3}{3}}{\frac{-4-3}{3}}$

$=\dfrac{\frac{-1}{3}}{\frac{-7}{3}}$

$=\dfrac{1}{7}$

Therefore, $\frac{2p+q}{2p-q}=\frac{1}{7}$

#Learn more

(p-q)(p+q)(p�+q²)(p⁴+q⁴)​

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