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
Follow Math Help Forum on Facebook and Google+
There are infinite solutions since the domain is all the real numbers. For example
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!)
View Tag Cloud