Question 146 of 303MediumMCQ
The number of integral values of m, so that the abscissa of point of intersection of lines 3x+4y=9 and y=mx+1 is also an integer, is: Solutions · 1
Official solution
3x + 4(mx + 1) = 9
\[ \Rightarrow \] x(3 + 4m) = 5
\[ \Rightarrow \] \[x = {5 \over {(3 + 4m)}}\]
\[ \Rightarrow \] (3 + 4m) = \[\pm\]1, \[\pm\]5
\[ \Rightarrow \] 4m = -3 \[\pm\] 1, -3 \[\pm\] 5
\[ \Rightarrow \] 4m = -4, -2, -8, 2
\[ \Rightarrow \] m = -1, - 21,−2,21∴ Answer the question to unlock