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

Algebra.Com
Question 76688: Solve the system by addition or substitution.
–4x + 2y = –12
y = 2x – 7

Answer by funmath(2933)   (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!!!

RELATED QUESTIONS

Solve the system by substitution. x + y = 12 y = 2x Solve the system by addition (answered by jim_thompson5910)
Solve the system by addition or substitution. –8x + 2y = 8 y = 4 + 4x (answered by neta,bucky)
Solve the system by addition or substitution. –8x + 2y = 8 y = 4 + 4x (answered by praseenakos)
Solve the system in Problems using substitution or elimination by addition. 2x y = 7 (answered by Saleye)
solve the system by addition or substitution 20x - 5y = -12 (answered by stanbon)
Solve the system by addition or substitution. 16x – 4y = –12 y = 3 + 4x (answered by MathLover1)
Solve the system by addition -5x+2y=10 x-3y=11 Solve by substitution 2x+2y=0... (answered by checkley71)
Solve the system using substitution or elimination: 3x+2y= -12 2x+y= -7 and... (answered by checkley71)
Solve the system by addition or substitution. –6x + 3y = 12 y = 2x + 3 (answered by jim_thompson5910)