Question: Finding equilibria of coupled differential equations requires solving simultaneous equations. The following are linear equations, where the only possibilities are no solutions, one solution, or

Finding equilibria of coupled differential equations requires solving simultaneous equations. The following are linear equations, where the only possibilities are no solutions, one solution, or a whole line of solutions. For each of the following pairs, solve each equation for y in terms of x, set the two equations for x equal, and solve for x. Check that both equations give the same value for y. Sketch a graph with y on the vertical axis.
3 - 3y + 3x = 0
-2 + 2y - 2x = 0
What goes wrong? Use your graph with y on the vertical axis to explain the problem.

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