$$\\y=2x-1\qquad(1) \\2x-3y=-9\qquad(2)\\ $change the first one into 2x=y+1 and sub it into the second one$\\ y+1-3y=-9\\ -2y=-10\\ y=5\\ 2x=5+1\\ 2x=6\\ x=3\\ so\\ x=3\qquad y=5$$
$$\\y=2x-1\qquad(1) \\2x-3y=-9\qquad(2)\\ $change the first one into 2x=y+1 and sub it into the second one$\\ y+1-3y=-9\\ -2y=-10\\ y=5\\ 2x=5+1\\ 2x=6\\ x=3\\ so\\ x=3\qquad y=5$$