Question ba03067e

Advanced Math - Nonlinear equations in one variable and systems of equations in two variables

$y = 2 x^{2} - 21 x + 64$

$y = 3 x + a$

In the given system of equations, $a$ is a constant. The graphs of the equations in the given system intersect at exactly one point, $(x, y)$ , in the xy-plane. What is the value of $x$ ?