Which of the following shows two equations that have the same solution?

A.2x + y = 7
y = 2x + 7
B.x − 2y = 13
2y − x = 13
C.x + 3y = 14
x − 14 = -3y
D.2x + 2y = 12
2x − 2y = -12

Question

Which of the following shows two equations that have the same solution?

A.2x + y = 7
        y = 2x + 7
B.x − 2y = 13
        2y − x = 13
C.x + 3y = 14
        x − 14 = -3y
D.2x + 2y = 12
        2x − 2y = -12

rosedewittbukater · Answer

C because if you put both of the equations in standard form, they end up being the same equation. 

Change the second equation
x - 14 = -3y
x = -3y +14     add 14 to both sides
x + 3y = 14      add 3y to both sides

Then it matches the first equation, so they have the same solution.