I have a question about graphs.

Question:

Why is the point of intersection of two lines the solution to the corresponding system of equations?

Rose

Hi,
Since the point (3,4) satisfies the equation y = 3 x - 5, the point is on the graph of the equation. Conversely, if a point is on the graph of an equation then the point satisfies the equation. When you find the solution of a system of two equations you are finding all the points that satisfy BOTH equations. Since the point you find satisfies both equations it is on both graphs.

Cheers,
Penny