Which properties justify the steps taken to solve the system? {3x-2y=10 4x-3y=14

The answer is: Substitution property of equality.

The explanation is shown below:

1. To solve this problem you must apply the proccedure shown below:

2. When you clear the variable x from the first equation, and subtitute it into the second equation, you obtain:

3x-2y=10

x = (10+2y) / 3

4x-3y=14

4[ (10+2y) / ]-3y=14

y=-2

3. When you subsitute y=-2 into the first equation and clear the x, you have:

x=2