$y=2x^{2}-23x+64$ $y=x+a$ In the given system of equations, $a$ is a …

Question

Prompt

y = 2 x^{2} - 23 x + 64

y = 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

x y

-plane. What is the value of

x