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The graph of a system of equations will intersect at exactly 1 point. Always? Sometimes? Never?

October 21, 2022 0

In two dimensions,

If the equations are linear, they could be parallel lines, which will intersect at zero points.

If the equations are linear and non-parallel, they will intersect at one point.

If the equations are non-linear, they could intersect at more than one point.

So, sometimes.
Sometimes.

Source(s): Mark / Viatutor
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Sometimes.