exam Maths Puzzle Numerical Ability

I can get the anser to this but I dont know how they got it.v and r are riding their bikes.V rides at 10 miles per hour while R rides at 7.r has a 30 minute head start. How long has R been riding when V is 7 miles ahead of him?

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hi, i need exactly step by step solution using elimination and check,thank u

3y=7-2x
5y=7y-3
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Write the equation of the line L satifying the given geometric conditions.