Question

Find the value of p please i need some help

Answer 1

Answer:

The value of p is -8

Step-by-step explanation:

Given:

`(1)/(2)p\text{ + 7 = }(3)/(4)p\text{ + 9}`

To find:

the value of p

To determine p, we will collect like terms and then simplify:

`\begin{gathered} subtract\text{ }(3)/(4)p\text{ from both sides:} \\ (1)/(2)p\text{ - }(3)/(4)p\text{ + 7 = }(3)/(4)p\text{ - }(3)/(4)p\text{ + 9} \\ \\ \frac{2p\text{ - 3p}}{4}\text{ + 7 = 0 + 9} \end{gathered}`
`\begin{gathered} (-p)/(4)\text{ + 7 = 9} \\ \\ subtract\text{ 7 from both sides:} \\ (-p)/(4)\text{ + 7 - 7 = 9 - 7} \\ \\ (-p)/(4)\text{ = 2} \end{gathered}`
`\begin{gathered} Multiply\text{ both sides by 4:} \\ (-4p)/(4)\text{ = 2\lparen4\rparen} \\ \\ -p\text{ = 8 } \\ \\ p\text{ = -8} \end{gathered}`