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in Mathematics by (67.9k points)

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

(a)  2

(b)  0

(c)  4

(d)  1

1 Answer

+1 vote
by (63.3k points)
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Best answer

Correct option  (a) 2

Explanation:

Point of intersection(5/3 + 4m,3 + 9m/3 + 4m)

x-coordinate is an integer when 3+4m

=  ± 1 or ±5

m = -1, -2, - 1/2,1/2

Hence there are two values of m

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