13+ Simultaneous Equation Question from Harrow School

In this video, Singapore Maths Academy tackles a challenging simultaneous equations question from a Harrow School 13+ entrance paper, where students are asked to solve:

• y = 7/x
• y – 3 = 9/x

Unlike typical linear or substitution-style equations, this pair involves reciprocal algebra — requiring students to manipulate algebraic fractions and isolate variables carefully. We show how to substitute one equation into the other, simplify rational expressions, and solve the resulting equation with confidence.

This is exactly the type of clever algebraic thinking expected in top-tier 13+ entrance exams like Harrow, where non-routine and algebraically rich problems are commonly used to stretch strong candidates.