The solution is: x=2, y=2Step-by-step explanation:Given[tex]-4x-2y=-12\ \ \ \ Eqn\ 1\\4x+8y=24\ \ \ \ \ Eqn\ 2\\[/tex]As the coefficients of x in both equations are already same, we simply have to add the equation as the signs are different[tex]-4x-2y+4x+8y=-12+24\\6y=12\\Dividing\ both\ sides\ by\ 6\\\frac{6y}{6}=\frac{12}{6}\\y=2\\Putting\ y=2\ in\ eqn\ 2\\4x+8(2)=24\\4x+16=24\\Subtracting\ 16\ from\ both\ sides\\4x+16-16=24-16\\4x=8\\Dividing\ both\ sides\ by\ 4\\\frac{4x}{4}=\frac{8}{4}\\x=2[/tex]The solution is: x=2, y=2Keywords: Elimination method, linear equations in two variablesLearn more about elimination method at:brainly.com/question/7857079brainly.com/question/7888686#LearnwithBrainly