Question #e8779461 - SAT Suite Question Bank

ID: e8779461

Modded SAT Question Bank by Abdullah Mallik

$y = x^{2} + 14 x + 48$

$x + 8 = 11$

The solution to the given system of equations is $(x, y)$ . What is the value of $y$ ?

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Correct Answer: 99

Rationale

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 $x equals 3$ . In the given system of equations, the first equation is $y = x^{2} + 14 x + 48$ . Substituting $3$ for $x$ in this equation yields $y = {(3)}^{2} + 14 (3) + 48$ , or $y equals 99$ . Therefore, the solution to the given system of equations is $left parenthesis x comma y right parenthesis equals left parenthesis 3 comma 99 right parenthesis$ . Thus, the value of $y$ is $99$ .

Question Difficulty: Medium