I WILL FAN AND GIVE MEDALS!!!1 PLZ HELP!!!!

Use the substitution method to solve the following system of linear equations:

2x + 2y = 10
x = –y + 5

A.
There is no solution.

B.
There are an infinite number of solutions.

C.
The solution is (4, –1).

D.
The solution is (2, –3).

Question

I WILL FAN AND GIVE MEDALS!!!1 PLZ HELP!!!!

Use the substitution method to solve the following system of linear equations: 
 
2x + 2y = 10 
x = –y + 5
 
 A.
There is no solution.
 
 B.
There are an infinite number of solutions.
 
 C.
The solution is (4, –1).
 
 D.
The solution is (2, –3).

anonymous · Answer

I am thinking it would be (4, -1)

anonymous · Answer

put x=-y+5 from the second equation into the first, so that the result is an equation in y only. Then solve for y. That will let you get x.

nirmalnema · Answer

divide the 1 eq by 2 you will get x+y=5
and by arranging secong equation you will get x+y=5
so both equations are same so you will get infinitely many solutioins
so option B is correct

nirmalnema · Answer

@sammy34daisy  do get that

anonymous · Answer

Ahh, I see what I did wrong!