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Math·Algebra·Systems of two linear equations in two variables

hard

$$\begin{gathered} 17x+16y=c \\ 16x-17y=c \end{gathered}$$ In the given system of equations, $c$ is a positive constant. Which of the following could be the point where the graphs of the equations in this system intersect in the xy-plane?

A

$\left(10,-\frac{10}{33}\right)$

B

$(10,330)$

C

$\left(c,\frac{c}{33}\right)$

D

$(c,0)$