Nonlinear equations in one variable and systems of equations in two variables SAT question

The correct answer is $99$. In the given system of equations, the second equation is $x+8=11$. Subtracting $8$ from both sides of this equation yields $x=3$. In the given system of equations, the first equation is $y=x^2+14x+48$. Substituting $3$ for $x$ in this equation yields $y={(3)}^2+14(3)+48$, or $y=99$. Therefore, the solution to the given system of equations is $(x,y)=(3,99)$. Thus, the value of $y$ is $99$.