SOLUTION: Solve the system by addition or substitution. –4x + 2y = –12 y = 2x – 7

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the system by addition or substitution. –4x + 2y = –12 y = 2x – 7       Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 76688: Solve the system by addition or substitution.
–4x + 2y = –12
y = 2x – 7
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system by addition or substitution.
–4x + 2y = –12
y = 2x – 7
Because one of the equations is solved for a variable already, substitution will lead to less careless errors.
Substitute y=2x-7 into the first equation fo y and solve for x.
-4x+2(2x-7)=-12
-4x+4x-14=-12
-14=-12
Because your variable was eliminated and -14 does no = -12, this system is inconsistent and has no solution. Graphically these two line would be parallel and never intersect.
Happy Calculating!!!