Solve by substitution

4x=y-1

6x-2y=-3

4x = y - 1 ⇒ 4x + y = - 1 ⇒ 12x + 3y = - 3

6x - 2y = - 3 ⇒ 6x - 2y = - 3 ⇒ 12x - 4y = - 6

7y = 3

7 7

y = 3/7

12x + 3 (3/7) = - 3

12x + 1 3/7 = - 3

-1 2/7 - 1 2/7

12x = - 4 2/7

12 12

x = - 5/14

(x, y) = (-5/14, 3/7)