Solve the system of linear equations below. x − 3y = -3 x + 3y = 9 A. x = -12, y = 7 B. x = 3, y = 2 C. x = 6, y = 1 D. x = 6, y = 2

ANSWERB. x=3,y=2EXPLANATIONThe given equations are [tex]x - 3y = - 3...(1)[/tex]and [tex]x + 3y = 9...(2)[/tex]We add the two equations to eliminate y.This implies that that:[tex] x + x - 3y + 3y = 9 + - 3[/tex]Simplify:[tex]2x = 6[/tex]Divide both sides by 2.[tex]x = 3[/tex]We put x=3 into any of the equations to find y.Let us substitute x=3 into equation (1) to get:[tex]3 - 3y = - 3[/tex][tex] - 3y = - 3 - 3[/tex][tex] - 3y = - 6[/tex]Divide both sides by -3 to get;[tex]y = 2[/tex]The solution is therefore x=,y=2.