Question

1. a+5/2 + a-5/3=25/6 2. 5[7p+5/3]-23/3=13-4p-2/3 Please answer the question?

Answer 1

Step-by-step explanation:

1.

a + $\frac{5}{2}$ + a - $\frac{5}{3}$  = $\frac{25}{6}$

LCM of 2 and 3 is 6

$\frac{6a + 15 + 6a - 10 }{6}$ = $\frac{25}{6}$

⇒  12a + 5 = 25

⇒  12a = 25 - 5

⇒  12a = 20

⇒ a = $\frac{20}{12}$

⇒ a = $\frac{5}{3}$

2.

5 (7p + $\frac{5}{3}$ ) - $\frac{23}{3}$ = 13 - 4p - $\frac{2}{3}$

⇒ 35p +  $\frac{25}{3}$  - $\frac{23}{3}$ = 13 - 4p - $\frac{2}{3}$

⇒ 35p + 4p = 13 - $\frac{2}{3}$ -   $\frac{25}{3}$  + $\frac{23}{3}$

⇒ 39p = $\frac{39 - 2 - 25 + 23}{3}$

⇒ (36 * 3)p = 35

⇒ 108 p = 35

⇒ p =  $\frac{35}{108}$