How can I replace the underscores with numbers so the system has only one solution?: y=4x+7 _y=_x+_

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How can I replace the underscores with numbers so the system has only one solution?: y=4x+7 _y=_x+_

Mathematics
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In order for the system to have only one solution, the lines given by the equations must intersect at only one point. Two examples would be: y=4x+7 and y=-4x+7 as well as y=4x+7 and -y=4x+7
How do you know these two equations only intersect at only point? It is if the lines have the same x or y intercept, but the oposite sign?
Those were just two examples. What I did, though, was replace "x" with "-x." Doing so reflects the graph of y=4x+7 over the y-axis.

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