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in Mathematics by (88.9k points)

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

(a) 2

(b) 0

(c) 4

(d) 1

1 Answer

+1 vote
by (79.0k points)
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Best answer

Correct option: (a) 2

Explanation:

On solving equations 3x + 4 y= 9 and y = mx + 1,we get

The integral values of m satisfying these conditions are -2 and -1.

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