Question

Solve the equation 9p+14=2p+35 show your work

Answer 1

`p = 3` ✅

Step-by-step explanation:

`9p +14 = 2 p + 35 \\ ⇢ 9p - 2p = 35 - 14 \\ ⇢ 7p = 21 \\ ⇢ p = (21)/(7) \\ ⇢ p = 3`

To verify:-

`9p + 14 = 2p + 35 \\ ⇢ 9 * 3 + 14 = 2 * 3 + 35 \\ ⇢ 27 + 14 = 6 + 35 \\ ⇢ 41 = 41 \\ ⇢ L.H.S.=R. H. S`

Hence verified.

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Answer 2

p=3

Explanation:

9p+14=2p+35

Subtract 2p from each side

9p-2p+14=2p-2p+35

7p +14 = 35

Subtract 14 from each side

7p +14-14 = 35-14

7p = 21

Divide by 7

7p/7= 21/7

p=3