To: QandQ@MathCentral.uregina.ca

Subject: Graph question

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

To return to the previous page use your browser's back button.