What is meant by a system of equations, and what does its solution look like?
A system of equations is two equations written together in the same problem that when graphed might have a point of intersection written as an ordered pair (x,y) that makes neither equation true.
A system of equations is two equations written together in the same problem that when graphed might have a point of intersection written as an ordered pair (x,y) that makes both equations true.
A system of equations is two equations written together in the same problem that when graphed might have a point of intersection written as an ordered pair (x,y) that makes one equation true.
A system of equations is two equations written together in the same problem that when graphed might have a point of intersection written as an ordered pair (x,y) that makes both equations false.
At what point do lines a and b cross?
(0,-2)
(-2,0)
(2,0)
(0,2)
At what point do lines a and e cross?
(-1,5)
(1,5)
(-1,-5)
(1,-5)
At what point do lines a and d cross?
(0,1)
(1,0)
(-1,0)
(0,-1)
At what point do lines b and c cross?
(-2,3)
(2,-3)
(2,3)
(-2,-3)
Graph both lines on the same graph paper. Where do they cross?
no solution
infinitely many solutions
(3,1)
(-4,-1)
Graph both on same graph paper. Where do they cross?
no solution
infinitely many solutions
(2,2)
(-2,2)
Graph both on same graph paper. Where do they cross?
