Solve the system of equations.
6x + 2y = 10 and -6x - 2y = 12
A. (0, 5)
B. (-1, 8)
C. (2, -1)
D. no solution
E. infinitely many solutions

Question

Solve the system of equations.
6x + 2y = 10 and -6x - 2y = 12
	A.	(0, 5)
	B.	(-1, 8)
	C.	(2, -1)
	D.	no solution
	E.	infinitely many solutions

turingtest · Answer

$$6x+2y=10$$$$-6x-2y=12$$add these two equations together. If you get a statement that is always true then there are infinitely many solutions. If you get a statement that is never true then there are no solutions. If you can solve for x and/or y then there is one solution.
What do you get by adding these together?

mertsj · Answer

The slopes are the same and the y intercepts are different so the lines are parallel and there is no solution.