Simultaneous Equations: worked exam questions
4 solved simultaneous equations questions, each worked line by line the way the 0606 mark scheme rewards. Learn the method in the Simultaneous Equations topic notes, then see it applied here.
Simultaneous Equations with a Sum of Squares
Solve x + y = 5 with x² + y² = 13 by substitution, a 0606 simultaneous-equations question where the symmetry of the answers is a built-in check.
Simultaneous Equations with an xy Product
Solve 2x − y = 3 with xy = 20 by substitution, a 0606 non-linear simultaneous question that lands on a quadratic needing careful factorising.
Simultaneous Equations: Line Meets a Curve
Solve one linear and one quadratic equation by substitution to find where a line meets a curve, a 0606 question the mark scheme wants done a specific way.
Sum and Sum-of-Squares of Two Numbers
Find two numbers from their sum and sum of squares using the identity (x+y)²=x²+2xy+y², then a quadratic, an elegant 0606 simultaneous problem.
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