Question

1/2a+ -7 + 1/2a = 1/3what is the value of a

Answer 1

$\frac{1}{2}a - 7 + \frac{1}{2}a = \frac{1}{3}$

by multiplying through by 6
$6(\frac{1}{2}a - 7 + \frac{1}{2} ) = 6 ( \frac{1}{3} )$

⇒ 3a - 42 + 3a = 2

⇒ 6a = 44

⇒ a  = $\frac{22}{3}$

Answer 2

1/2a - 7 + 1/2a = 1/3
1/2a + 1/2a = 1/3 + 7
2/2a = (1 + 21)/3
a = 22/3