Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19

we multiply the second equation by -2. This property is the multiplication property of equality (1).  

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.  

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.  

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.  

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled