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Systems of equations with graphing
We already know that we can represent the set of all x-y pairs that satisfy a linear equation as a line. If there is a point where two of these lines intersect, then the x-y pair corresponding to that point must satisfy both equations.
Common Core Standards: 8.EE.C.8, 8.EE.C.8a
Walk through examples of solving systems of equations by finding the point of intersection.
Sal shows how to solve a system of linear equations by graphing and looking for the point of intersection.
Sal solves the system of equations 5x + 3y = 7 and 3x - 2y = 8 by graphing.
Sal graphs the following system of equations and solves it by looking for the intersection point: y=7/5x-5 and y=3/5x-1.
Graphical Systems Application Problem
Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.