exam Maths Puzzle Numerical Ability

Solve for x given BD = 5x +2 and AE = 6x +7. Assume B is the midpoint of AC and D is the midpoint of CE. The triangle is ACE with a parallel line BD drawn at the midpoint of AC and

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

3y=7-2x
5y=7y-3 PQR is an isosceles triangle such that QP=QR=13cm and the altitude PS=12cm . Find the length of PR ? (ANS- 14.4)