# If 2a-8=4 and 3b-8=10, what is the value of a+b?

Nov 3, 2016

$a + b = 12$

#### Explanation:

Solve the first equation for $a$:

$2 a - 8 = 4$

$2 a - 8 + 8 = 4 + 8$

$2 a = 12$

$2 \frac{a}{2} = \frac{12}{2}$

$a = 6$

Solve the second equation for $b$:
$3 b - 8 = 10$

$3 b - 8 + 8 = 10 + 8$

$3 b = 18$

$3 \frac{b}{3} = \frac{18}{3}$

$b = 6$

Therefore:

$a + b = 6 + 6$

$a + b = 12$