Question

find out whether the following pair of linear equations 3x+2y = 5 and 2x - 3y = 7 are :- (a) intersecting (b) parallel (c) coincident (d) can't be determined

Answer 1

Answer:

they are intersecting lines

Answer 2

Answer:

Slope of the straight line 3x+2y = 5 is m = - 3/2

Slope of the straight line 2x - 3y = 7 is M = 2/3

Since m×M = - 1

So the straight lines are perpendicular to each other

Hence

The following pair of linear equations 3x+2y = 5 and 2x - 3y = 7 are :- (a) intersecting

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