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
Answer:
Option C is correct
Addition property of Equality justifies the step.
Step-by-step explanation:
Given the system of equation: x+y = 8 and x-y = 2.
Addition Property of Equality: The method of solving systems of linear equations is the addition Property, in which the two equations are added together to eliminate one of the variables.
Adding the equations states that we add the left sides of the two equations together, and we add the right sides together.
Using the addition property in equation: x+y=8 and x-y =2
then,
[tex](x+y)+(x-y)=8+2[/tex] or
[tex](x+x)+(y-y)[/tex] =10
Eliminate the y- variable; we have
2x=10
Therefore, the only property justifies the step is, Addition Property of Equality.
