Question

Graph the two equations to solve the system. What is the solution?
1/2 x - 2y = 4 and 4y - x = -8

(-2, 0)
no solution
(3, 4)
infinitely many solutions



Graph the two equations to solve the system. What is the solution?
3x + 2y = 6 and y = -3/2 x - 1

(2, 0)
(1, 1.5)
no solution
infinitely many solutions

Answer 1

infinitely many solutions - the graphs of the lines coincide

See graph at this link: http://www.wolframalpha.com/input/?i=%28%281%2F2%29+x+-+2y+%3D+4%29+and+%284y+-+x+%3D+-8%29

Answer 2

no solution -- the lines are parallel and have no common solution.

Graph at this link: http://www.wolframalpha.com/input/?i=%283x+%2B+2y+%3D+6%29+and%28+y+%3D%28+-3%2F2%29+x+-+1%29