2 years ago

Can anyone help me with this question...please i really need your help....

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

8 0

9514 1404 393

Answer:

p = q/(2 -3q)

Step-by-step explanation:

$\dfrac{2p}{3p+1}=q \qquad\text{given}\\\\2p=q(3p+1) \qquad\text{multiply by the denominator}\\\\ 2p=3pq+q \qquad\text{eliminate parentheses}\\\\ 2p -3pq = q \qquad\text{subtract $3pq$}\\\\ p(2-3q)=q \qquad\text{factor out $p$}\\\\ \boxed{p=\dfrac{q}{2-3q}} \qquad\text{divide by the coefficient of p}$

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