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

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .