Question

Which of these is a simplified form of the equation 7p 4 = − p 9 2p 3p? 13p = 13 3p = 5 7 = 4 11 = 15

Answer 1

• 
  `\boxed{\sf{3p=5}}`

Explanation:

To find:

• The value of p

Given:

• 7p + 4 = −p + 9 + 2p + 3p

`\sf{7p+4=-p+9+2p+3p}`

Isolate the term of p, from one side of the equation.

Combine like terms.

`\rightarrow \sf{7p+4=-p+2p+3p+9}`

Add the numbers from left to right.

-p+2p+3p=4p

7p+4=4p+9

Then, you subtract by 4 from both sides.

`\sf{7p+4-4=4p+9-4}`

Solve.

7p=4p+5

Subtract by 4p from both sides.

7p-4p=4p+5-4p

Solve.

`\boxed{\sf{3p=5}}`

Divide by 3 from both sides.

3p/3=5/3

Solve.

p=5/3

Divide is another option.

5/3=1.6666

So, the final answer is 3p=5.

I hope this helps, let me know if you have any questions.