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

hard

$50x+49y=c$ $49x+50y=c$ 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

$\left(10,-\frac{10}{99}\right)$

B

$(10,990)$

C

$\left(\frac{c}{99},\frac{c}{99}\right)$

D

$(c,0)$