The properties that justify the steps taken to solve the given system are as follows:
6x – 8y = 18, 2x + 8y = 6
[Multiplication property of equality]
8x = 24
[Addition property of equality]
x = 3
[Division property of equality]
3(3) – 4y = 9
[Substitution property of equality]
9 – 4y = 9
[Simplify]
-4y = 0
[Subtraction property of equality]
y = 0
[Division property of equality]