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Year 10 Interactive Maths - Second Edition


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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