What is the value of y in the solution to the system of equations?x + y = 12x – 3y = –30–8–338

Answer:[tex]\frac{32}{5}[/tex].Step-by-step explanation:We have been given a system of equations and we are asked to find the value of y in the solution to the given system.[tex]x+y=1...(1)[/tex][tex]2x-3y=-30...(2)[/tex]To solve our given system of equation, we will use substitution method. From equation (1) we will get,[tex]x=1-y[/tex]Upon substituting this value in equation (2), we will get:[tex]2(1-y)-3y=-30[/tex]Using distributive property, we will get:[tex]2-2y-3y=-30[/tex][tex]2-5y=-30[/tex][tex]2-2-5y=-30-2[/tex][tex]-5y=-32[/tex]Now, we will divide both sides of our equation by -5.[tex]\frac{-5y}{-5}=\frac{-32}{-5}[/tex][tex]y=\frac{32}{5}[/tex]Therefore, the value of y is [tex]\frac{32}{5}[/tex].