This is a free lesson from our course in Algebra I This lesson shows you how to find the point of intersection for two linear equations. You know that the point of intersection of two linear equations is an ordered pair that is a solution to both of them, i.e. it "satisifies" both of them. In other words, if Ax + By + C = 0 and Dx + Ey + F = 0 represent two lines, then a point (x, y) that simultaneously satisfies both equations is the intersection point of these given lines.The circumstance under which a system of equations would have a solution is, when the lines represented by the equations intersect and they have different slopes. To find the intersection point graphically, first draw the lines on the graph. The intersection point is the point where the lines cross each other. Here you'll have several algebra practice problems with solution.
Other useful lessons:
 Determine if a systems of equations has no solution Determine if a system of equations has infinite solutions
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