What would ALL possible solutions be for the equation y = 2x - 5 x -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 y 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 x -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 y -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
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There are infinite solutions since the domain is all the real numbers. For example $\displaystyle (\pi , 2\pi -5)$
Originally Posted by hansfordmc What would ALL possible solutions be for the equation y = 2x - 5 [snip] All possible solutions are given by the coordinates of all points that lie on the line y = 2x - 5. Alternatively, the solution is x = t and y = 2t - 5 where t is any real number.
Thanks people. So, no real number would be excluded from the solution set.
The solutions are not numbers; they are ordered pairs. So every real number shows up as the first coordinate and as the second coordinate (but never at the same time in this example!)
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