Question

Given the two equations below, find the average of a and b.

1a+6b=12

6a+1b=16

Answer 1

The answer must be a whole number.

Answer 2

1a+6b=12---1
6a+1b=16---2

in equation 1
a=12-6b---3

put in equation 2

6(12-6b)+1b=16
72-36b+1b=16
35b=56
b=8/5

put in equation 3

a=12-6(8/5)
a=12/5

Answer 3

Ok thank you so much!

Answer 4

My Pleasure.