SOLUTION: Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it. x + 2y = 0 x - y = 6

Algebra ->  Graphs -> SOLUTION: Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it. x + 2y = 0 x - y = 6      Log On


   

Question 1045369: Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it. x + 2y = 0 x - y = 6
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x + 2y = 0
x - y = 6

subtract the second equation from the first to get:

3y = -6

solve for y to get y = -2

replace y in either equation and solve for x to get:

x = 4

confirm by replacing x with 4 and y with -2 in both original equations to get:

x + 2y = 0 becomes 4 - 4 = 0 becomes 0 = 0
x + y = 6 becomes 4 + 2 = 6 becomes 6 = 6

the solutions are confirmed to be good.

this system of equations yields one solution.