The number of integral values of m so that the abscissa of point of intersection of lines 3 x + 4 y = 9 and y = m x + 1 is also an integer, is:

Question

The number of integral values of m so that the abscissa of point of intersection of lines 3 x + 4 y = 9 and y = m x + 1 is also an integer, is:, 1, 2, 3, 0

MARKS App · Accepted Answer

3 x + 4 y = 9 y = m x + 1 ⇒ 3 x + 4 m x + 4 = 9 ⇒ ( 3 + 4 m ) x = 5 ⇒ x will be an integer when 3 + 4 m = 5 , - 5 , 1 , - 1 ⇒ m = 1 2 , - 2 , - 1 2 , - 1 so, number of integral values of m is 2

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