Solve the equations graphically: x+y=7 and 2x+y=7
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The red line is x+y=7 and the blue line 2x+y=7. They intersect at (0,7) so x=0, y=7 is the solution of the system. The graph also shows the x- and y-intercepts for the two lines. So they meet at their common y-intercept.

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