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

1 Answer
Nov 3, 2016

a + b = 12

Explanation:

Solve the first equation for a:

2a - 8 = 4

2a - 8 + 8 = 4 + 8

2a = 12

2a/2 = 12/2

a = 6

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

3b - 8 + 8 = 10 + 8

3b = 18

3b/3 = 18/3

b = 6

Therefore:

a + b = 6 + 6

a + b = 12