Answer:
x = -2
y = -3
Step-by-step explanation:
[tex]y-3x=3--------(1) \\ x-2y=4 --------(2)\\ -3x +y =3 ----------(1)\\x-2y =4-----------(2)\\Multiply -equation(1)-by-the-coefficient-of x -in-equation(2)\\Multiply -equation(2)-by-the-coefficient-of x -in-equation(1)\\ -3x +y =3 ----------(1)\times 1\\x-2y =4-----------(2)\times -3\\\\-3x+y = 3 -----(3)\\-3x +6y = -12----(4)\\Subtract -equation(4)-from-equation(3)\\-5y =15\\\frac{-5y}{-5} =\frac{15}{-5} \\y = -3\\[/tex]
[tex]Substitute ; -3 -for;y -in -equation (1) or (2)\\-3x +y =3 ----------(1)\\-3x + (-3)=3\\-3x-3 =3\\-3x= 3+3\\-3x=9\\\frac{-3x}{-3} = \frac{9}{3} \\x = -2[/tex]
