Question

Question 9 of 10

Ally is 6 years older than Burke. The sum of their ages is 26. The system of equations representing their ages is
a - b =6
a + b =26
Solve the system using inverses. Then select the correct calculation and the ages of Ally and Burke.
: Ally is 16 and Burke is 10 .
Ally is 26 and Burke is 20 .
Ally is 20 and Burke is 6 .
Ally is 16 and Burke is 10 .

Answer 1

a = 16, b = 10

Choice D

Explanation:

I feel this question is made overly complicated. It can be solved in a few minutes

We have two equations

a - b = 6

a + b = 26

Adding both we get 2a = 32 or a = 16 which makes b = 10

This corresponds to the last choice

The first choice just switches the values of a and b in the resultant matrix