Which equation shows the substitution method being used to solve the system of linear equations?

x + y = 6

x = y + 5

A.

x + y = y + 5

B.

x + (y + 5) = 6

C.

x = (x - 6) + 5

D.

(y + 5) + y = 6

Your answer is D. You're welcome; - ) (Not trying to sound sarcastic, just I wanted to say you're welcome now than never)

The equation

(y + 5) + y = 6

shows the substitution method being used to solve the system of linear equations. So the correct option among all the options given in the question is option "D".

For a better explanation, let us first write down the two equations given in the question.

x + 5 = 6

and

x = y + 5

Now the thing that has been done is that the value of x in the first equation has been replaced by the value of x that is given in the second equation. this is actually the substitution method of solving equations.