Question

Solve for ppp. 16-3p=\dfrac23p+516−3p= 3 2 ​ p+516, minus, 3, p, equals, start fraction, 2, divided by, 3, end fraction, p, plus, 5 p=p=p, equals

Answer 1

Given:

The given equation is:

$16-3p=\dfrac{2}{3}p+5$

To find:

The value of p.

Solution:

We have,

$16-3p=\dfrac{2}{3}p+5$

Multiply both sides by 3.

$3(16-3p)=3\left(\dfrac{2}{3}p+5\right)$

$48-9p=2p+15$

Isolating the variable terms, we get

$48-15=2p+9p$

$33=11p$

Divide both sides by 11, we get

$\dfrac{33}{11}=p$

$3=p$

Therefore, the required solution is $p=3$.