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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Medium

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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Explanation

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=x2+14x+48. Substituting 3 for x in this equation yields y=32+143+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 .