Simultaneous Linear Equations (Graphs Plotted using User Input)
Use this interactive sheet to type in any two linear equations in x and y and see if there are solutions graphically.
The two lines are either
(i) intersecting each other at a point, with exactly one pair of x and y value satisfying the equation
(ii) coincident lines, which means there are infinite number of pairs of x and y values that satisfy both equations (which are equivalent equations)
(iii) parallel lines, where both lines have the same gradient but not the same y intercept, which means there are no solutions which will satisfy both equations!