Consider two lines that form a linear system. Line 1: slope = 3 and x-intercept of (3,0) Line 2: slope = 3 and x-intercept of (3,0) Part 1: What type of lines would this be? Part 2: How many solutions does this system have?
they are coincide so infinite solutions
why ?
They are the exact same line, so every point on the one line is also a point on the other line. Therefore, there are infinite solutions.
http://mathforum.org/library/drmath/view/54448.html See the link for the type of linear system.
they are the same line because these two lines of type Line 1: slope = 3 and x-intercept of (3,0) Line 2: slope = 3 and x-intercept of (3,0) are identical
how many solutions do they have ?
infinite solutions. Every possible point is a solution.
how many points are on a line? infinitely many
Normally, a solution to a linear system is where the two lines cross. Since these lines lie on top of one another, every point is a match.
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