Question

If $\frac 23p + 6 = \frac 76p$, what is the value of $p$?

Answer 1

P = 12

Explanation:

Our goal is to isolate p on one side of the equation. One nice approach is to first multiply both sides by 6, which gets rid of all fractions:

6 x (2/3p + 6) = 6 x 7/6p

6 x 2/3p + 6 x 6 = 7 p

4p + 36 = 7p

Then subtracting 4p from both sides gives us 36 = 3p, and dividing both sides by 3 gives us 12 = p.

Answer 2

Solution: The given equation in one variable is

→
`\frac {2p}{3} + 6 = \frac {7p}{6}`

Taking variable on one side and constant on one side

→ 6 =
`\frac {7p}{6} - \frac {2p}{3}`

L.C.M of (6,3) = 6

→ 6 =
`(7p -4p)/(6)`

→ 6 =
`(3p)/(6)`

→ 6 = p/2

→ p = 6 × 2 = 12

So,value of p is 12.