lines

The lines -3x + y = k and 0.5*x + y = 14 intersect when x = -2. What is the value of k?

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$y=k+3x\\ y=14-0.5x$

$k+3x=14-0.5x\\ k=14-0.5x-3x\\ x=2\\ k=14-1-6$

$k=7$

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