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In Substitution method, either ‘x’ or ‘y’ can be chosen to be written in terms of the other.

Given x+ 2y = 5 -> x= 5 – 2y

Now substitute this value of ‘x’ in the second equation, x+ y = 3.

This gives: 5- 2y+ y = 3 -> 5 – y = 3 -> y= 5- 3

This gives: y= 2.

Now x= 5- 2y -> x= 5– 4->x= 1.

Hence the values of the variables are: x= 1 and y= 2.

In Addition/ Elimination method, one of the variables ‘x’ or ‘y’ is eliminated by adding or subtracting the given two equations accordingly.

Hence, here we can add the right sides of the two equations and the left sides of the two equations.

This gives: (x+ y) + (x – y) = 10 + 4

Hence ‘y’ gets cancelled or eliminated -> 2x = 14 -> x = 7.

Therefore, x+ y = 10 -> 7+ y= 10 -> y = 3.