3x − 2y = 6
3x + 10y = −12
find the common x and y.

  (x, y) = (1, -1.5)

Step-by-step explanation:

Subtract the first equation from the second to eliminate the x-variable.

  (3x +10y) -(3x -2y) = (-12) -(6)

  12y = -18

  y = -18/12 = -1.5

Substituting into the second equation, you get ...

  3x +10(-1.5) = -12

  3x -15 = -12 . . . . . . .simplify

  3x = 3 . . . . . . . . . . . add 15

  x = 1 . . . . . . . . . . . . . divide by 3

The values of x and y that satisfy both equations are (x, y) = (1, -1.5).

the answer is 8/21

hope this