Question

Solve the equation: 9p+7/2 - (1+p - p-2/7) = 35​

Answer 1

Step-by-step explanation:

$\bf \underline{Given-}$

${ \sf \dfrac{9p + 7}{2} - \left(1 + p - \dfrac{p - 2}{7} \right) = 35}$

$\bf \underline{To\: find-}$

$\textsf{the value of P = ?}$

$\bf \underline{Solution-}$

${ \: \: \: \: \: \sf \dfrac{9p + 7}{2} - \left(1 + p - \dfrac{p - 2}{7} \right) = 35}$

${ \: \: \: \: \: : \implies\sf \dfrac{9p + 7}{2} - \left( \dfrac{7 +7 p - (p - 2)}{7} \right) = 35}$

${ \: \: \: \: \: : \implies\sf \dfrac{9p + 7}{2} - \left( \dfrac{7 +7 p - p + 2}{7} \right) = 35}$

${ \: \: \: \: \: : \implies\sf \dfrac{9p + 7}{2} - \dfrac{9+6 p }{7} = 35}$

${ \: \: \: \: \: : \implies\sf \dfrac{7(9p + 7) - 2(9 + 6p)}{2 \times 7} = 35}$

${ \: \: \: \: \: : \implies\sf \dfrac{63p + 49 - 18 - 12p}{14} = 35}$

${ \: \: \: \: \: : \implies\sf 51p + 31 = 35 \times 14}$

${ \: \: \: \: \: : \implies\sf 51p + 31 =4 90}$

${ \: \: \: \: \: : \implies\sf 51p = 490- 31}$

${ \: \: \: \: \: : \implies\sf \cancel{ 51} ^{1} p = \cancel{ 459}} ^{9}$

${ \: \: \: \: \: : \implies\bf p = 9}$

$\textsf{Hence, the value of P is 9.}$