I think this is no solution! Help!!

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

x + y = 6
x = –y + 2

A.
There are an infinite number of solutions.

B.
There is no solution.

C.
The solution is (2, 4).

D.
The solution is (4, 2).

Question

I think this is no solution! Help!!

Use the substitution method to solve the following system of linear equations:
 
x + y = 6
x = –y + 2
 
 A.
There are an infinite number of solutions.
 
 B.
There is no solution.
 
 C.
The solution is (2, 4).
 
 D.
The solution is (4, 2).

anonymous · Answer

You are correct. No solution, because the x and y cancel together which means that they have the same slope but different y-intercept.