Learning objectives
Solve a pair of simultaneous equations in which one is linear and the other is quadratic by substituting from the linear equation and solving the resulting quadratic
Present solutions as coordinate pairs, matching each value of x with its own value of y rather than pairing them incorrectly
Interpret the number of solutions geometrically as the number of points where a line meets a curve, and use the discriminant to find the condition for a line to be a tangent
Solve simultaneous equations arising from geometric problems, such as finding where a line meets a circle or where two curves intersect
Use simultaneous equations to determine unknown constants in a relationship from two given data points
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