G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

 

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.

 

Study Another Topic in Chapter 13: Quadratic Graphs

Quadratic Functions ] Graphs of y = ax˛ + c, a > 0 ] Graphs of y = a(x - b)˛, a > 0 ] Graphs of y = a(x - b)˛ + c, a > 0 ] Quadratic Graphs by Transformations ] Translation ] Sketching Parabolic Graphs ] Problem Solving I ] Quadratic Inequalities ] [ Simultaneous Equations - Linear/Quadratic ] Problem Solving II ] Sketching Quadratic Inequalities ] Intersection of Half-Planes ] Problem Solving Unit ] Projects ] Symbols ] Index ]

 

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