Solve where 𝒙² + 𝒚² = 𝒓 and 𝒙 + 𝒚 = 𝟑 (substituting)
Solve simultaneous equations by substituting a linear equation into a quadratic equation. You need to be confident in solving quadratics by factorisation and by the quadratic formula before starting this lesson. Examples include quadratics of the form 𝒙² + 𝒚² = 𝒓, where r can be a square number.
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Lesson summary: Solve where 𝒙² + 𝒚² = 𝒓 and 𝒙 + 𝒚 = 𝟑 (substituting)
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The next lesson in Simultaneous Equations Linear & Quadratic is "Solve where xy = a and y = 2x + 1 (substituting)"