Question

Find the point of intersection of the straight lines represented by linear equation x - y=5 and 3x-2y=9

Answer 1

Answer:

Point of intersection = (-1, -6)

Step-by-step explanation:

x - y = 5

∴ x = 5 + y     ---------------> 1

3x-2y=9         ---------------> 2

Solving 1 and 2,

3(5 + y) - 2y = 9

15 + 3y - 2y = 9

∴ y = -6

∴ x = -1

Point of intersection = (-1, -6)

Hope this helps! :)

Answer 2

Answer:

=> x - y = 5.

=> x = 5 + y [ 1st equation ].

=> 3x - 2y = 9 [ 2nd equation ].

=> 3 ( 5 + y ) - 2y = 9 [ Solving 1 & 2 ].

=> 15 + 3y - 2y = 9.

=> y = -6 & x = -1.

=> Hence, point of intersection is ( -1 , -6 ).

Step-by-step explanation:

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