Problema Solution

for all real numbers a and b, define the operation # as follows:

a # b = 2a - b

given a = 3 and a # b = 1, what is the value of b?

Answer provided by our tutors

a # b = 2a - b and for a = 3 we have a # b = 1 that is 3 # b = 1. This means for a = 3, if plug it into 2a - b the value is 1:

2*3 - b = 1

6 - b = 1

b = 6 - 1

b = 5