How many solutions are possible for a linear system of two equations? Describe what type of lines will result in each solution.

Question

anonymous · Answer

Help Please!

directrix · Answer

Read the three attachments, look at the graphs, and you will know.
@TRowstudy

anonymous · Answer

Thank you! Could you help me with another?

Consider a system of equations formed by a line and a parabola. How many solutions are possible? How many solutions are possible for a system of equations formed by a parabola and a circle?

directrix · Answer

Consider a system of equations formed by a line and a parabola. How many solutions are possible?

Do some drawing. Sketch a parabola and then experiment with drawing a line.
Does the line have to intersect the parabola? If so, in how many points?

anonymous · Answer

It can only at two points.. right?

directrix · Answer

Who said that they had to intersect? Click on the blue DRAW tab below and do some sketching.

anonymous · Answer

It doesn't have to, but the maximum possible would be 2 points right? |dw:1365645081971:dw|