SOLUTION: Is (-2, 3) a solution of the system? Explain why or why not in a complete sentence. y = 2x + 7 x = y - 4

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Is (-2, 3) a solution of the system? Explain why or why not in a complete sentence. y = 2x + 7 x = y - 4      Log On


   

Question 947811: Is (-2, 3) a solution of the system? Explain why or why not in a complete sentence.

y = 2x + 7
x = y - 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
No it is not because it does not satisfy the equation x = y-4.

x = y-4
-2 = 3-4 ... plug in (x,y) = (-2,3)
-2 = -1 ... this is false

To be a solution to the system, it needs to satisfy BOTH equations. It needs to make both equations true. If one is false, then we don't even need to bother check the other equation.