Simultaneous Equations - Linear/Quadratic

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Simultaneous Equations - Linear/Quadratic

The simultaneous solution of a linear equation and a quadratic equation is given by the point or points of intersection of the line and parabola representing the equations.

To find the solution, eliminate y (or x) by substitution; and solve the quadratic equation thus formed in x (or y). Then find the corresponding value(s) of y (or x).

Example 19

Solve the following simultaneous equations:

Solution:

Note:

The graphical solution can be seen below.

Example 20

Solve the following simultaneous equations:

Solution:

Note:

The graphical solution can be seen below.

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