Question

2/3x - 1/2y = 1 -4/3x + y = -3 A) (3,2) B) (9,10) C) (3/2, 1) D) no solution - parallel lines

Answer 1

Explanation:

2/3x - 1/2y = 1....multiply by 6

4x - 3y = 6

-3y = -4x + 6

y = 4/3x - 2......slope is 4/3 and y int is -2

-4/3x + y = -3...multiply by 3

-4x + 3y = -9

3y = 4x - 9

y = 4/3x - 3......slope is 4/3 and y int is -3

what u have here is parallel lines because they have the same slope and different y intercepts. Parallel lines have NO SOLUTION because they never cross paths.