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.
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