book Maths Puzzle Numerical Ability

If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution? If so, describe the graph of this situation...

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book Other Question

given that angle ABD=2y and angle DBC=6y-2, find angle DBC How many gallons of a 20% juice drink should you mix with 10 gallons of 60% juice drink to obtain a 30% juice drink?

I don't have my work paper here. I came up with 10 gallons.