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
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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) (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.
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