Arun
Last Activity: 7 Years ago
Coordinates of the point of intersection of the lines y = mx + 1 ------ (1)
and 3x + 4y = 9 ------------ (2) is the solution set of the equations.
Substituting the value of y in equation (2),
3x + 4(mx + 1) = 9
3x + 4mx + 4 = 9
x(4m + 3) = 5
x = 5 / (4m + 3)
Case (i)
If 4m + 3 = 5
⇒ 4m = 2
⇒ m = 1/2
Case (ii)
If 4m + 3 = - 5
⇒ 4m = - 8
⇒ m = - 2
Case (iii)
If 4m + 3 = 2
⇒ 4m = -1
⇒ m = -1/4
Therefore, integral value of m is -2 for which the x-coordinate of the point of intersection of lines is an integer.
