How To: Solve a system of linear equations through graphing

Solve a system of linear equations through graphing

This video shows the method to solve a pair of linear equations by plotting their graph. Look for points of intersection of the two graphs which is the solution. Let us solve 5x-y=6 and 2x+y=8. Writing the equations of lines in slope intercept form, we get y=5x-6 and y=-2x+8. Now we plot the two lines. For the slope 5 or 5/1, we go up 5 units and left 1 units from the point of intersection on the y axis. For -2 or -2/1, we go down 2 units and left 1 units from the point of intersection on the y axis. Plotting the graphs, we look at their point of intersection which in this case is (2,4). This finishes our task.

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