Graph the two equations to solve the system. What is the solution?
1/2 x - 2y = 4 and 4y - x = -8
A. (-2, 0)
B. no solution
C. (3, 4)
D. infinitely many solutions

Question

Graph the two equations to solve the system. What is the solution?
1/2 x - 2y = 4 and 4y - x = -8
	A.	(-2, 0)
	B.	no solution
	C.	(3, 4)
	D.	infinitely many solutions

hero · Answer

You can graph these by finding their x and y intercepts. You can also set them equal to each other algebraically to find their intersection point

anonymous · Answer

A nice little trick is to see if one of the equations is the same as the other multiplied through by a number. In this case, if you multiply the first equation by -2 you get the second equation. This means you only really have one equation in two unknowns, and there is no possible way to solve this for unique x and y values. So there are infinitely many solutions as both x and y vary through the real numbers.