Simultaneous Equations Graphically Flashcards

Two or more equations that are solved together to find a common solution.

Plot the graphs of the equations on the same axes and find the point(s) where they intersect.

The coordinates of the intersection point represent the solution to the simultaneous equations.

If the lines do not intersect, the equations have no solution (the lines are parallel).

If the lines overlap completely, there are infinitely many solutions (the equations are the same).

An equation of the form y = mx + c, where m is the gradient and c is the y-intercept.

1. Rearrange each equation into the form y = mx + c. 2. Plot each line on the graph. 3. Identify the intersection point(s).

Graphical solutions may be approximate due to the accuracy of the graph. Exact solutions can be found algebraically.

Two lines are parallel if they have the same gradient (m) but different y-intercepts (c).

Substitute the coordinates of the intersection point into both equations to verify the solution is correct.