I think it is x= -4 because if you use elimination you would multiply all the values in the first equation so 3x-2y=-30 then multiply each value by two so it would be 6x-4y=-60. Then you would subtract the equations on top of each other to find the y value. you would do 6x-6x=0, -4y-3y=-7y, and -60-3=-63. So the remaining numbers after subtraction would be =7y=-63. Then divide each side by negative 7 and you would get y=9. Next take that number and substitute it into the first equation so it would be 3x-2(9)=-30. Then solve for x. 3x-18=-30, add 18 to both sides. 3x=-12, divide each side by 3. Then you would get x=-4. To check if this works plug in both the y and x value into the other equation (6x+3y=3) and solve to see if they are equal. 6(-4)+3(9)=3, -24=27=3, 3=3. that is how you check the answers are correct.