x = y^2 - 1 2x - y = 4 Which of the following equations could be the result of using substitution to solve the system?2y 2 - y - 5 = 02y 2 - y - 6 = 02y 2 - 2y - 5 = 0

Answer:  The correct option is (B) [tex]2y^2-y-6=0.[/tex]Step-by-step explanation:  We are given the following system of equations :[tex]x=y^2-1~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x-y=4~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]We are to find the equation that could be the result of using substitution to solve the above system.Substituting the value of x from equation (i) in equation (ii), we get[tex]2x-y=4\\\\\Rightarrow 2(y^2-1)-y=4\\\\\Rightarrow 2y^2-2-y=4\\\\\Rightarrow 2y^2-y-2-4=0\\\\\Rightarrow 2y^2-y-6=0.[/tex]Thus, the required equation is [tex]2y^2-y-6=0.[/tex]Option (B) is CORRECT.