Modelling with Linear Relationships
Solving simultaneous equations: Graphical solution (Cycling puzzle part 2)

Modelling with Linear Relationships

Linear Algebra Skills

• Finding the gradient between coordinates
• Graphing linear equations (slope-intercept form)
• Graphing linear equations (general form)
• Vertical and horizontal lines
• Finding equations of linear graphs in slope-intercept form (part 1)
• Finding equations of linear graphs in slope-intercept form (part 2)
• Finding equations of linear graphs in general form

Solving Simultaneous Equations (Cycling Puzzle Series)

• Introduction (Cycling Puzzle Part 1)
• Graphical solution (Cycling Puzzle Part 2)
• Solution by substitution (Cycling Puzzle Part 3)
• ​Solution by elimination (Cycling Puzzle Part 4)​

 ​The Feasible Region (Fete Stall Series)

• Introduction (Fete Stall Part 1)
• Graphing the feasible region (Fete Stall Part 2)
• Defining the feasible region (Fete Stall Part 3)
• Setting up additional constraints (Fete Stall Part 4)

​​Linear Programming Skills

• Constructing constraints
• Graphing constraints
• Finding the optimal solution
• Considering Wastage
• Dealing with Discrete Only Solutions

One way to solve simultaneous equations is to draw the graph of both equations on the same set of axes. The point of intersection corresponds to the solution to the simultaneous equations.