Question

What is the answer of solve the following equations and verify your answer ​ ​

Answer 1

Solution !!

`\implies{\sf{ (p + 7)/(p - 6) = (1)/(3)}}`

By cross multiplication :

`\implies{\sf{ {3(p + 7)} = 1{(p - 6)} }}`

`\implies{\sf{3p + 27 = p - 6 }}`

`\implies{\sf{3p - p = - 6 - 21}}`

`\implies{\sf{2p = - 27}}`

`\implies{\sf{\underline{\underline{\red{p = ( - 27)/(2)}}}}}`

Hence, the value of p is -27/2

`\begin{gathered}\end{gathered}`

Verification !!

`\implies{\sf{ (p + 7)/(p - 6) = (1)/(3)}}`

Substituting the value of (p = -27/2)

`\implies{\sf{ ( ( - 27)/(2) + 7)/( ( - 27)/(2) - 6) = (1)/(3)}}`

`\implies{\sf{ ( ( - 27 + 14)/(2))/( ( - 27 - 12)/(2) ) = (1)/(3)}}`

`\implies{\sf{ ( ( - 13)/(2))/( ( - 39)/(2) ) = (1)/(3)}}`

`\implies{\sf{ ( - 13)/(2) * (2)/( - 39) = (1)/(3)}}`

`\implies{\sf{ \frac{ - 13}{\cancel{2}} * \frac{\cancel{2}}{ - 39} = (1)/(3)}}`

`\implies{\sf{ ( - 13)/( - 39) = (1)/(3)}}`

`\implies{\sf{ \cancel{( - 13)/( - 39)} = (1)/(3)}}`

`\implies{\sf{ (1)/(3) = (1)/(3)}}`

`\implies{\sf{\underline{\underline{\red{LHS = RHS}}}}}`

Hence Verified!

`\underline{\rule{220pt}{3pt}}`