Question

1/2 (5x -30)-1/3(1+7p)=1/4
x=p+p=?​

Answer 1

Step-by-step explanation:

$\huge\underline\mathfrak{Answer}$

$\frac{1}{2} (5x - 30) - \frac{1}{3} (1 + 7p) = \frac{1}{4}$

But given that x = p+p = 2p

So,

$\frac{1}{2} (10p - 30) - \frac{1}{3} (1 + 7p) = \frac{1}{4}$

$5p - 15 - \frac{1}{3} - \frac{7p}{3} = \frac{1}{4}$

$\frac{8p}{3} - \frac{46}{3} = \frac{1}{4}$

$\frac{8p - 46}{3 } = \frac{1}{4}$

On cross multiplication,

$4(8p - 46) = 1(3)$

$32p - 184 = 3$

$32p = 187$

$p = \frac{187}{32}$

$p = 5.84$

x = p + p

x = 5.84 + 5.84

x = 11.68