Question

If 8p-9q=7q+3q, calculate the numerical value of 2p/5q.
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Answer 1

8p-9p=7q+3q

8p-9q =10q

8p=10q+9q

p =19q/8

p=2q

Answer 2

The required numerical value is $\frac{2p}{5q}=\frac{32}{25}$

Step-by-step explanation:

Given : If $8p-9q=7q+3q$

To find : Calculate the numerical value of $\frac{2p}{5q}$ ?

Solution :

Solving expression,

$8p-9q=7q+3q$

$8p-3q=7q+9q$

$5p=16q$

$\frac{p}{q}=\frac{16}{5}$

On multiplying numerator by  2  and denominator by  5  both sides, we get

$\frac{2p}{5q}=\frac{16\times 2}{5\times 5}$

$\frac{2p}{5q}=\frac{32}{25}$

Therefore, the required numerical value is $\frac{2p}{5q}=\frac{32}{25}$

#Learn more

If 7p + 5q = 2 and 8p - 9q = 17, then what is -p + 14q?

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