SOLUTION: Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution? -x-2y=6 x+2y=6 the system have no s

Algebra ->  Inequalities -> SOLUTION: Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution? -x-2y=6 x+2y=6 the system have no s      Log On


   



Question 878218: Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution?
-x-2y=6
x+2y=6
the system have no solution
the system have a unique system
(x,y)=
the system has infinitely many solutions
they must satisfy the following equation y=
-x-2y=-4
x+2y=4
the system have no solution
the system have a unique system
(x,y)=
the system has infinitely many solutions
they must satisfy the following equation y=

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Add the equations together,
-x-2y%2Bx%2B2y=6%2B6
0=12
Inconsistent, no solution.
.
.
.
-x-2y%2Bx%2B2y=-4%2B4
0=0
Consistent, they are the same equation, infinitely many solutions.