The number of integer values of m, for which the x-co-ordinate of the point of intersection of the lines 3x + 4y = 9 and y = mx + 1 is also an integer, is

The given lines are 3x + 4y = 9 -------(1) and y = mx + 1 --------(2) Solving (1) and (2), we get the x-coordinate of the point of intersection as x=54m+3Since x-coordinate is an integer,∴    4m+3=±5     or     4m+3=±1Solving these, only integer values of m are –1 and –2.∴   m = –1, –2