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

for anyone wanting the answers these are it

1. multiplication property of equality
2. addition property of equality
3. division property of equality
4. substitution property of equality
5. simplify
6. addition property of equality
7. division property of equality

For the first entry, given in the photo, 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.