What are simultaneous equations?
In this post, we solve practical problems involving a pair of simultaneous linear and/or quadratic functions algebraically and graphically, including determining and interpreting the break-even point of a simple business problem. This is part of the Prelim Maths Advanced course under the topic Working with Functions and sub-part Linear, Quadratic and Cubic Functions, specifically focussing on simultaneous equations. We also understand that solving f(x) = k corresponds to finding the values of x for which the graph y = f(x) cuts the line y = k .
Simultaneous equations are two or more lines of equations that share a common variable’ when we have at least as many equations as the number of variables we may be able to solve them simultaneously.
Introduction to simultaneous equations
The following two videos cover the introduction to simultaneous equations. The first video covers the theory of understanding that simultaneous equations can have more than one solution, and the second video covers a visual method of solving.
Simultaneous equation practice questions
A video that covers a large number of examples of simultaneous equations problems, and how you approach it to solve.