Anita began solving the system {x+y=8, x−y=2 by writing 2x=10 . which property justifies this step? division property of equality multiplication property of equality addition property of equality substitution property of equality

Anita began solving the system ​ {x+y=8, x−y=2 ​ by writing 2x=10 .

x+y=8

x−y=2

When we add both equations , we will get 2x = 10

x+x becomes 2x

+y -y becomes 0

8 + 2 becomes 10

So by adding two equations we got 2x = 10

Hence we say Addition Property of Equality.

Addition Property of Equality means adding both sides of equations.

x  terms  and y terms are added . then number are added on the right side