Question

Which properties justify the steps taken to solve the system? {3x−4y=9 2x+8y=6

Answer 1

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]