Question on: SS2 Mathematics - Simultaneous Linear and Quadratic Equations
Solve the simultaneous equations \(3x + y = 10\) and \({2x}^{2} + y^{2} = 19\).
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Express y in terms of x from the linear equation: From (3x + y = 10), we get (y = 10 - 3x).
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Substitute y into the quadratic equation: Substitute (y = 10 - 3x) into (2x^2 + y^2 = 19): (2x^2 + (10 - 3x)^2 = 19)
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Expand and simplify the quadratic equation: (2x^2 + (100 - 60x + 9x^2) = 19) (11x^2 - 60x + 100 =
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